Suppose A and B are sets. Prove or disprove the following statement.(P(A) = P(B)) (A = B)Include guiding text in your proof to indicate the proof...

Suppose A and B are sets. Prove or disprove the following statement.(P(A) = P(B)) ↔ (A = B)Include guiding text in your proof to indicate the proof strategies you’re using.(Hint: to prove p ↔ q is true, prove p → q and q → p separately; to prove that it is false, rewrite it using other logical connectives and use appropriate proof strategies.)

p ↔ q = p → q and q → p = if( P(A) = P(B) ), then A = B and if A = B, then P(A) = P(B). It just seems so obvious..how do use a direct proof to prove both conditional statements?

p ↔ q