Question

A = {0, 2, 4}, find A ∩ φ and A ∩ A. Comment.

Answer 1

Given set A = {0, 2, 4} and φ is a null set.

A ∩ φ = {0, 2, 4} ∩ { } 

= { } ……. (1) 

A ∩ A = {0, 2, 4} ∩ {0, 2, 4} 

= {0, 2,4} …….. (2) 

From (1) and (2), 

We conclude that A ∩ φ = φ and A ∩ A = A