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3) Prove that proposition: If n is any odd integer and m is any even integer, then, 2n +3m is even [Bonus] prove the proposition

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3) Prove that proposition: If n is any odd integer and m is any even integer, then, 2n +3m is even [Bonus] prove the proposition in (3) by contradiction. Hint: you may appeal to facts such as the sum of two even integer is also even integer; and, the sum of two odd integer is even integer

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