10. Result: Proof. Evaluate the proposed incorrect proof of the following result. That is, explain what is incorrect. If m is an even integer and n is an odd integer, then 3m + 5n is odd. We assume that m is an even integer and n is an odd integer. Then m = 2k and n = 2k+1, where k is an integer. Therefore, = 3(2k) + 5(2k+1) = 6k + 10k + 5 = 16k + 5 = = 2(8k+2) + 1 Since 8k+2 is an integer, 3m+5n is odd. Q.E.D. 3m + 5n

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.