Problem 3 Let f(x)=3. 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 one-to-one via a direct proof. (b) (c) Prove that f: 2Z → Z is one-to-one via a proof by contrapositive. Decide whether f: 4Z3Z is one-to-one and prove your claim.

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