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Question: given a function f x y and a...

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Given a function f : X → Y and a subset A of A under f to be the set X, we define the direct image or forward image Similarly, if BC Y then we define the preimage or inverse image of B under f to be the set Note that fIX]im(f). Problem 2. Determine whether each statement is true or false. If it is true, prove it. If it is false, prove this by giving a counterexample(e) For every bijective function f X-Y and all A, B C X, we have f[AnB f[AnB

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