Let x and y be integers. Prove by the contrapositive that if x2 - y2 is even, the x + y 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 25E: Let ,, and be integers. Prove or disprove that implies or .
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Let x and y be integers. Prove by the contrapositive that if x- yis even, the x + y is even.

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