Question

If A = {2, 5, 6, 7} and B = {3, 5, 7, 8}, then verify the commutative property of 

(i) union of sets 

(ii) intersection of sets

Answer 1

Given, A = {2, 5, 6, 7} and B = {3, 5, 7, 8} 

(i) A ∪ B = {2, 3, 5, 6, 7, 8} … (1) 

B ∪ A = {2, 3, 5, 6, 7, 8} … (2) 

From (1) and (2) we have A ∪ B = B ∪ A 

It is verified that union of sets is commutative.

(ii) A n B = {5, 7} … (3)

B n A = {5, 7} … (4) 

From (3) and (4) we get, A ∩ B = B ∩ A 

It is verified that intersection of sets is commutative.