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 - Page 11: 6

Answer

The difference between two numbers, $4$ and $3$, is $1$, which is an odd number, but 4 is an even number, and not an odd number.

Work Step by Step

We need to find a counterexample to the statement: If the difference between two numbers is odd, then the two numbers are both odd. One such counterexample would be the numbers $4$ and $3$. $4 - 3 = 1$ $1$ is an odd number $4$ is not an odd number The difference between two numbers, $4$ and $3$, is $1$, which is an odd number, but 4 is an even number, and not an odd number.
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