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Prove the following using a proof by contraposition: (a) Let x E Z; If x2 6x +5 is even, then x is odd. (b)

Prove the following using a proof by contraposition: (a) Let x E Z; If x2 6x +5 is even, then x is odd. (b) If a product of two positive real numbers is greater than 100, then at least one of the number is greater than 10.

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