Question

if A and B are 2 sets and P(A)=P(B) show that A=B​

Answer 1

Answer:

For any two sets A and B prove that P(A)=P(B) implies A=B. Hint: To prove that A=B we have to prove that A is the subset of B and B is the subset of A. Subset means that all the element of set A are also in set B if A is the subset of B and if B is subset of A then all elements in set B are also present in set A.