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Math · Advanced Math
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Problem 3: Let X and Y be sets and let f XY be a function between those sets. Recall that given Ac X, we define the image of a the set A to be the set f(A)-(v E Y | y-/(a) for some ε A). Furthermore, recall that given a set B CY, we define the inverse image of the set B to be the set Prove the following for arbitrary sets Ai,A, Bi. B2. B 1. f(Ai U A2)-(A)u(A) Hint: You can prove 1, 3, 4, and 5 by constructing a string of equivalences.
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