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teger n is odd if and only if 3n + 1 is even.

teger n is odd if and only if 3n + 1 is even.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 21E: Prove that if and are integers such that and , then either or .
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Prove: An integer n is odd if and only if 3n +1 is even.
Transcribed Image Text:Prove: An integer n is odd if and only if 3n +1 is even.
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