Question

for any two sets A and B ,prove that .p(A)=p(B)=>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, P(A) = P(B) then A = B.

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