Assume n is an integer. Prove that n is odd iff 3n2 + 4 is odd....

Question

Question

Assume n is an integer. Prove that n is odd iff 3n2 + 4 is odd. Remember

that to prove p iff q, you need to prove (i) p → q, and (ii) q → p.

Use the fact that any odd n can be expressed as 2k + 1 and any even n can be expressed

as 2k, where k is an integer. No other assumptions should be made.

Answer 1

Answer #1

Answer 2

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