Proof techniques 1. Prove that the product of two odd numbers is odd. 2. Prove that...

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Proof techniques 1. Prove that the product of two odd numbers is odd. 2. Prove that if n is perfect square, then n + 2 is not a perfect square¹ 3. Prove that if n is an integer and 3n+2 is even, then n is even using (a) a proof by contraposition. (b) a proof by contradiction. 4. Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even. Proof techniques 1. Prove that the product of two odd numbers is odd. 2. Prove that if n is perfect square, then n + 2 is not a perfect square¹ 3. Prove that if n is an integer and 3n+2 is even, then n is even using (a) a proof by contraposition. (b) a proof by contradiction. 4. Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.

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1 Let x and y be odd integers Then x 2a 1 and y 2b 1 for some integers a and b Multiplying these two ... View the full answer