Question

Prove that:
A intersection complement of A is equal to empty set.

Answer 1

Answer:

Two sets are equal exactly when they have the same elements. ∅ is empty: i.e. it has no elements. We have shown that A∩A′ has no elements (because there are no common elements to a set and its complement). Thus, the two sets: A∩A′ and ∅ are equal, because both have no elements.

Answer 2

in this I have given the answer of two questions and in the second question first I have found the compliment of the a set and after finding the complement of A I have founded the complement again of the complement of the A set.

I hope you will understand that what I want to say.