Question: For all integers n , if n 2 is odd, then n is odd. Use a proof by contraposition, as in Lemma 1.1. Let n

For all integersn, ifn2is odd, thennis odd.

Use a proof by contraposition, as in Lemma 1.1.Letnbe an integer. Suppose that n is even, i.e.,n=for some integer k. Thenn2== 2is also even.

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