Question

if P(A) = P(B),prove that A = B​

Answer 1

Answer:

P(A) represents the power set of A. Subsets of set A are the elements of A.

Two sets are equal when they have the same elements.

P(A) = P(B)

The power sets of A and B are equal, this implies subsets of two sets A and B are equal

Therefore A and B should contain the same elements.

Hence If P(A) = P(B) then A = B.

hope this will help you

Answer 2

Refer to the attachment:-