# 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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