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 2.2 - Page 49: 7


The truth table for p $\land$ ~q $\rightarrow$ r:

Work Step by Step

First fill in the eight possible combinations of truth values for p,q, and r. Then fill in the column for ~q. Then fill in the column for p $\land$ ~q using the definition of logical and. Lastly, evaluate the if/then statement. When the if element is T and then element is F, the statement is F. In all other cases the statement is T.
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.