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To prove that a biconditional statement of the form pq is true, you must prove that p q and qp are both true. The validity
To prove that a biconditional statement of the form pq is true, you must prove that p q and qp are both true. The validity of this approach is based on the tautology: For example, to prove that for any integer n, n is odd if and only if n2 is odd, you must prove that (1) if n is odd, then n2 is odd, and (2) if n2 is odd, then n is odd. (10 pt.) Prove that for any positive integer n, n is even if and only if 7n + 4 is even. Indicate which proof methods you used, as well as the assumptions (what you suppose) and the conclusions (what you need to show) of the proof. 3
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