Evaluate the proof of the following result.Result Let n Z. If 3n 8 is odd, then n is

Chapter 3, Problem 3.39

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Evaluate the proof of the following result.Result Let n Z. If 3n 8 is odd, then n is odd.Proof Assume that n is odd. Then n = 2k + 1 for some integer k. Then 3n 8 = 3(2k + 1) 8 =6k + 3 8 = 6k 5 = 2(3k 3) + 1. Since 3k 3 is an integer, 3n 8 is odd.

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