If x is an odd integer, then x² +3x+5 is odd.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 28E: Let a be an odd integer. Prove that 8|(a21).
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Prove the following by contrapositive:

 

If x is an odd integer, then x² +3x+5 is odd.

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