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: 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.