Problem 2. (15 points) indicate whether each of the following is True or False. If the statement is true, give a proof why it is true. If it is false, give a counterexample. a) f(AUB) = CUD, and B #C, B D then A * b) AXB=Bx A if and only if A = B c) PCA) = P(B) if and only if A = B, where PO is the power set