Lesson 2 - Some more examples of Sets

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2		set2 - set1
1,3,5,7,9,11,13		2,4,6,8,10,12,14
Set1 Size: 7 Diff Size: 7		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2		set2 - set1
1,3,5,7,9,11,13		2,4,6,8,10,12,14
Set1 Size: 7 Diff Size: 7		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

		set2 - set1
		2,4,6,8,10,12,14
		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2
1,3,5,7,9,11,13
Set1 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2		set2 - set1
1,3,5,7,9,11,13		2,4,6,8,10,12,14
Set1 Size: 7 Diff Size: 7		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2		set2 - set1
1,3,5,7,9,11,13		2,4,6,8,10,12,14
Set1 Size: 7 Diff Size: 7		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

		set2 - set1
		2,4,6,8,10,12,14
		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2
1,3,5,7,9,11,13
Set1 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

		set2 - set1
		2,4,6,8,10,12,14
		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

		set2 - set1
		2,4,6,8,10,12,14
		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

		set2 - set1
		2,4,6,8,10,12,14
		Set2 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2
1,3,5,7,9,11,13
Set1 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2
1,3,5,7,9,11,13
Set1 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

set1 - set2
1,3,5,7,9,11,13
Set1 Size: 7 Diff Size: 7

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

First Seven Odd Natural Numbers (Blue) and First Seven Even Natural Numbers (Red)

Disjoint Sets: If A and B are two sets such that intersection of A and B = φ, then A and B are called disjoint sets.

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2		set2 - set1
2,4,6,8,12,14,16,18,22,24,26,28		5,15,25
Set1 Size: 15 Diff Size: 12		Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2		set2 - set1
2,4,6,8,12,14,16,18,22,24,26,28		5,15,25
Set1 Size: 15 Diff Size: 12		Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

		set2 - set1
		5,15,25
		Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2
2,4,6,8,12,14,16,18,22,24,26,28
Set1 Size: 15 Diff Size: 12

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2		set2 - set1
2,4,6,8,12,14,16,18,22,24,26,28		5,15,25
Set1 Size: 15 Diff Size: 12		Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2	Intersection	set2 - set1
2,4,6,8,12,14,16,18,22,24,26,28	10,20,30	5,15,25
Set1 Size: 15 Diff Size: 12	Intersection Size: 3	Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection	set2 - set1
	10,20,30	5,15,25
	Intersection Size: 3	Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2	Intersection
2,4,6,8,12,14,16,18,22,24,26,28	10,20,30
Set1 Size: 15 Diff Size: 12	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

		set2 - set1
		5,15,25
		Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection	set2 - set1
	10,20,30	5,15,25
	Intersection Size: 3	Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection	set2 - set1
	10,20,30	5,15,25
	Intersection Size: 3	Set2 Size: 6 Diff Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2
2,4,6,8,12,14,16,18,22,24,26,28
Set1 Size: 15 Diff Size: 12

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2	Intersection
2,4,6,8,12,14,16,18,22,24,26,28	10,20,30
Set1 Size: 15 Diff Size: 12	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

set1 - set2	Intersection
2,4,6,8,12,14,16,18,22,24,26,28	10,20,30
Set1 Size: 15 Diff Size: 12	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Multiples of 2 (Blue) and Multiples of 5 (Red)

Intersection: The intersection of sets A and B is the set of all elements which are common to both A and B.

	Intersection
	10,20,30
	Intersection Size: 3

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

		set2 - set1
		B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
		Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

		set2 - set1
		B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
		Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

		set2 - set1
		B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
		Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

		set2 - set1
		B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
		Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection	set2 - set1
	H,M,R,T,Y	B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
	Intersection Size: 5	Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection	set2 - set1
	H,M,R,T,Y	B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
	Intersection Size: 5	Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

		set2 - set1
		B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
		Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection	set2 - set1
	H,M,R,T,Y	B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
	Intersection Size: 5	Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection	set2 - set1
	H,M,R,T,Y	B,C,D,F,G,J,K,L,N,P,Q,S,V,W,X,Z
	Intersection Size: 5	Set2 Size: 21 Diff Size: 16

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Letters from the Word 'Rhythm' and English Consonants

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here English Consonants is the superset and Letter from the word 'Rhythm' is subset.

	Intersection
	H,M,R,T,Y
	Intersection Size: 5

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2
Oxford Shoes,Formal Shoes,Heels
Set1 Size: 6 Diff Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2
Oxford Shoes,Formal Shoes,Heels
Set1 Size: 6 Diff Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2
Oxford Shoes,Formal Shoes,Heels
Set1 Size: 6 Diff Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2
Oxford Shoes,Formal Shoes,Heels
Set1 Size: 6 Diff Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2	Intersection
Oxford Shoes,Formal Shoes,Heels	Slippers,Crocs,Flip flops
Set1 Size: 6 Diff Size: 3	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2	Intersection
Oxford Shoes,Formal Shoes,Heels	Slippers,Crocs,Flip flops
Set1 Size: 6 Diff Size: 3	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2
Oxford Shoes,Formal Shoes,Heels
Set1 Size: 6 Diff Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2	Intersection
Oxford Shoes,Formal Shoes,Heels	Slippers,Crocs,Flip flops
Set1 Size: 6 Diff Size: 3	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

set1 - set2	Intersection
Oxford Shoes,Formal Shoes,Heels	Slippers,Crocs,Flip flops
Set1 Size: 6 Diff Size: 3	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

Casual Footwear, and Footwear in General

Subset and Superset: A is a subset of B if a is an element of A implies that a is also an element of B. Here Footwear-in-General is the superset and 'Casual Footwear' is subset.

	Intersection
	Slippers,Crocs,Flip flops
	Intersection Size: 3

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

First five multiples of 2 (inc. 2). And First five even natural numbers

Equal Sets: If each element of set A is in set B and vice versa, such that size of two sets is also, hence, equal: We call such sets 'Equal Sets'.

	Intersection
	2,4,6,8,10
	Intersection Size: 5

Lowest Common Multiple of Three Numbers

Enter numbers:

Number A:

Number B:

Number C:

Factor	First No.	Second No.	Third No.

Your LCM is:

Adding two fractions using HCF

Numerator 1: / Denominator 1:

Numerator 2: / Denominator 2:



Result:

Solution

Counting Till 20 (Auto-reader) With Images

        

Tags: Mathematical Foundations for Data Science,

Lesson 1 - Introduction to Sets (And visualization using Venn Diagrams)

What are sets?

Definition 1 (from NCERT)

A set is a well-defined collection of objects.

The following points may be noted :
(i) Objects, elements and members of a set are synonymous terms.
(ii) Sets are usually denoted by capital letters A, B, C, X, Y, Z, etc.
(iii) The elements of a set are represented by small letters a, b, c, x, y, z, etc.

Some examples of sets:
(i) Odd natural numbers less than 10, i.e., 1, 3, 5, 7, 9
(ii) The rivers of India
(iii) The vowels in the English alphabet, namely, a, e, i, o, u
(iv) Various kinds of triangles
(v) Prime factors of 210, namely, 2,3,5 and 7
(vi) The solution of the equation: x2 – 5x + 6 = 0, viz, 2 and 3.

We give below a few more examples of sets used particularly in mathematics, viz.
N : the set of all natural numbers
Z : the set of all integers
Q : the set of all rational numbers
R : the set of real numbers
Z+ : the set of positive integers
Q + : the set of positive rational numbers, and
R + : the set of positive real numbers.

Definition 2

Sets: grouping of elements and each element in the group is unique.

Two basic types of sets: Overlapping sets and Non-overlapping sets.

Overlapping Sets

If there is one or more element present in both sets, the sets are called to be overlapping.

Example of Overlapping Sets

Set1: First six natural numbers.



Set2: First three natural numbers and first three alphabets.



Now two sets together in a Venn Diagram.

set1 - set2	Intersection	set2 - set1
Set1 Size: Diff Size:	Intersection Size:	Set2 Size: Diff Size:

Example of Non-Overlapping Sets

Non-overlapping sets are better known as Disjoint Sets.

Set1: First six natural numbers.



Set2: First six alphabets.



Now two sets together in a Venn Diagram.

set1 - set2	Intersection	set2 - set1
Set1 Size: Diff Size:	Intersection Size:	Set2 Size: Diff Size:

Nomenclature for sets that are 'Overlapping'

Subset and Superset Relation

If each element of set A is in set B, and also we have some extra elements present in set B which are not in set A:
Then, we call set A a subset and set B a superset.

A superset has more number of elements than a subset.

Set1: Letters from the word 'Rhythm'.



Set2: English Consonants.



Now two sets together in a Venn Diagram.

set1 - set2	Intersection	set2 - set1
Set1 Size: Diff Size:	Intersection Size:	Set2 Size: Diff Size:

Equal Sets

If superset and subset have same number of elements, such that the two sets are fully overlapping each other then we call them 'Equal Sets'. Tags: Mathematical Foundations for Data Science,JavaScript,Technology,

Detailed Solution to Upto Three Digit Subtraction

Note: We are going to subtract the smaller number from the bigger one.
Enter two numbers between 0 to 999.

First Number:

Second Number:

0         

0    0    0    0

 

-

------------

 

Alphabets and Phonics

Sound:

Words: