Question

sub set theory class 11

Answer 1

If A and B are two sets, and every element of set A is also an element of set B, then A is called a subset of B and we write it as A ⊆ B or B ⊇ A

The symbol ⊂ stands for ‘is a subset of’ or ‘is contained in’ 

• Every set is a subset of itself, i.e., A ⊂ A, B ⊂ B. 

• Empty set is a subset of every set. 

• Symbol ‘⊆’ is used to denote ‘is a subset of’ or ‘is contained in’. 

• A ⊆ B means A is a subset of B or A is contained in B. 

• B ⊆ A means B contains A. 

For example

1. Let A = {2, 4, 6}