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Determine if each of the following statements is true or false. If a statement is true,...

Determine if each of the following statements is true or false. If a statement is true, then write a formal proof of that statement, and if it is false, then provide a counterexample that shows its false.

1) For each integer a there exists an integer n such that a divides (8n +7) and a divides (4n+1), then a divides 5.

2)For each integer n if n is odd, then 8 divides (n4+4n2+11).

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