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 - Page 37: 2


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.
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