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2. Suppose f: A B and W, XCA. (a) Is it true that f(W)US(X) C (WUX)? If so, prove it. If not, give a

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2. Suppose f: A B and W, XCA. (a) Is it true that f(W)US(X) C (WUX)? If so, prove it. If not, give a counterexample. (b) Is it true that f(WUX) C (W)Uf(X)? If so, prove it. If not, give a counterexample. (c) Is it true that f(W) u f(X) = f(WUX)? Explain briefly.

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