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

Answer

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.
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