Problem 2 Let f(x) = 3r. For this problem, we will use the notation cZ to denote the set of multiples of c. For example, 2Z denotes the even integers, and 3Z denotes multiples of 3. (a) Prove that f: 2Z → Z is not onto. (b) (c) Prove that f: 2Z → 3Z is onto, where 3Z denotes the set of integers that are multiples of 3. Decide whether f: 4Z3Z is onto and prove your claim.

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