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

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

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

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

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