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: 14


See picture.

Work Step by Step

First, fill out the T/F values for the statement variables. Second, fill out the T/F values for increasing levels of complexity (one operation at a time). Finally, when you can determine the T/F value of the original statement form solely by observing the T/F values of the previous columns, create that column and fill in the values accordingly. Note that a statement form with $n$ statement variables will require $2^{n}$ columns.
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