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Question: determine if each of the following conjectures is true or...

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Determine if each of the following conjectures is true or false. If a conjecture is true, state the conjecture as a proposition and write a proof. If a conjecture is false, provide a counterexample (with explanation) that shows the conjecture is false.

1) If m is an odd integer, then (m4 − 1)/ 4 is an even integer.

2) If m is an odd integer, then (m4 − 1)/ 5 is an even integer.

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