Let a and b be two integers. Prove that if a+b is even then a-b is even.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 24E: Let , and be integers . Prove or disprove that implies.
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Let a and b be two integers. Prove that if a+b is even then a-b is even.

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