Question: Let f : N 2 ? Z be the function f(x, y) = x ? y, where N = {1, 2, 3, 4, . .

Let f : N2 ? Z be the function f(x, y) = x ? y, where N = {1, 2, 3, 4, . . .} is the set of positive integers.

(a) Show that f : N2 ? Z is not a bijection.

(b) Give a subset S ? N2 such that f : S ? Z is a bijection, and prove the correctness of your answer.

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