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  3. 1 suppose x and y are sets and f ...

Question: 1 suppose x and y are sets and f ...

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1.) Suppose X and Y are sets and f : X->Y is a function. Suppose A is a set, and for each λ E A, Αλ is a subset of X. Prove that (a) Prove that υλεΜ(Ax) f (υλΕΑΑλ) Remark: In class we proved that f(υλεΛΑλ)-ỦAEM(h), so now we have (b) Prove that f(neAAx)-ηλεΛΑλ). (c) Give an example of sets X, Y, a function f X-Y, and sets A C X and A2 X such that f(AinA2) have equality in part (b). f(Anf(A2). This shows that we do not necessarily

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