In each case prove the result by contradiction and either prove the converse or give a counterexample.

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In each case prove the result by contradiction and either prove the converse or give a counterexample.
(a) If n + m = 25 where n and m are integers, then one of n and m is greater than 12.
(b) If m and n are integers and mn is even, then m is even or n is even.
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