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6. Consider the statment. Let n be an integer. n is odd if and only if...

6. Consider the statment. Let n be an integer. n is odd if and only if 5n + 7 is even.

(a) Prove the forward implication of this statement.

(b) Prove the backwards implication of this statement.

7. Prove the following statement. Let a,b, and c be integers. If a divides bc and gcd(a,b) = 1, then a divides c.

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