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5. Prove the following statement if it is true. Otherwise, provide a counterexample. a. Let 2:, y E R. If 3; is a nonzero rational

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5. Prove the following statement if it is true. Otherwise, provide a counterexample. a. Let 2:, y E R. If 3; is a nonzero rational number and y is an irrational numberJ then my is irrational. b. Let n, m E Z. If n + m is even, then 73. is even and m is even

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