ven ? is a positive integer, prove that ? is even if and only if 5? + 6 is even. You must use definitions of even (and odd, if needed). Do not use “even plus even is even” or similar rules of thumb

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 25E
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Given ? is a positive integer, prove that ? is even if and only if 5? + 6 is even.
You must use definitions of even (and odd, if needed). Do not use “even plus even is even” or similar rules of thumb.

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