Answered: Prove that n is odd if and only if 3n+9…

Prove that n is odd if and only if 3n+9 is even. You must use definitions of even (and odd, if needed). Do not use "even plus even is even" of similar rules of thumb.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.2: Mathematical Induction

Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...

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Question

Prove that n is odd if and only if 3n+9 is even. You must use definitions of even (and odd, if needed). Do not use "even plus even is even" of similar rules of thumb.

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