Let b and' d be two rational numbers written in lowest terms. Let s = q + e S = r and f be written in lowest terms. Assume that s is not 0. Prove or disprove the following two statements. a. If b and d are odd, then fis odd. b. If b and d are even, then f is even.

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Statements and Logic

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