Question: Topic: Proofs (even (2k), odd(2k+1), r = a / b. etc.) Prove that if n is a positive integer, then n is even if and

Topic: Proofs (even (2k), odd(2k+1), r = a / b. etc.)

Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.

Topic: Proofs (even (2k), odd(2k+1), r = a / b. etc.) Prove

Notes:

if and only if proof involves 2 proofs:

n is even implies 7n + 4 is even,

7n + 4 is even implies n is even.

One of these is best done as a direct proof, the other as a proof by contrapositive.

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