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Question: please give complete proofs...

Question details

Let X, y be sets, and let f : X → y be a function. Given A. B-X, and C, D C Y, give a proof or a counterexample: (a) f(AUB)=f(A) Uf(B). (b) f(AnB)- f(A) nf(B). (c) f(xy A) =y f(A). (d) f-ı(CUD) = f-1(C) U f-1(D).please give complete proofs

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