## Prove that if n is an integer and 3n+2 is even then n is even

Given If 3n + 2 is even then n is even ∀ n ∈ Z Proof By Contradiction We will prove the given statement by contradiction Suppose 3n+2 is even. Assume n is odd. If n is odd, then we can write n as n = 2k + 1, k ∈ Z Substitute n in …

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