Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 1 - Problem Solving and Critical Thinking - 1.1 Inductive and Deductive Reasoning - Exercise Set 1.1: 3

Answer

The result of multiplying 3 by itself is 9, which is not an even number.

Work Step by Step

We need to find a counterexample to the statement that if if a number is multiplied by itself, the result is even. To have one counterexample, we can simply pick any odd number, such as $3$. $3*3=9$ 9 is not an even number. The result of multiplying 3 by itself is 9, which is not an even number.
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