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: 8

Answer

Truth table for ~p $\lor$ q $\rightarrow$ r:

Work Step by Step

Fill in the 8 possible combinations of truth values for p, q, and r. Then fill in the column for ~p. Then fill in the column for ~p ∨ q according to the definition of OR. 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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