Question 6 Let n, m, and p be integers such that p = n + m. Prove by contradiction that if p is odd, then n or m must be odd (i.e. they can't both be even) and n or m must be even (i.e. they can't both be odd).

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Q: 1. Let ne Z. Prove that n² +3n - 5 is an odd integer.

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Q: Give a proof to the following: For all integers aa and bb, if a|13a|13 and 13|b13|b, then a|ba|b.

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