Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.1: 2

Answer

If $p$, then $q$. Not $q$. Therefore, not $p$. If all prime numbers are odd, then 2 is odd. 2 is not odd. Therefore, it is not the case that all prime numbers are odd.

Work Step by Step

Replace each complete idea (i.e., an idea that can be expressed as a complete, independent sentence) as a single letter (here, $p$ or $q$). Fill in the blanks in the example argument based on where you put the letters $p$ and $q$ by examining the first argument.
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.