Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.1 - Propositional Logic - Exercises - Page 13: 14

Answer

a) $r\wedge \neg q$ b) $p\wedge q\wedge r$ c) $\neg p\Rightarrow \neg r$ d) $p\wedge \neg q\wedge r$ e) $p\wedge q\rightarrow r$ f) $r\Leftrightarrow (q\lor p)$

Work Step by Step

Because the descriptions for $p, q, r$ are provided, all there is to do is replace the logical concepts with the symbols for logical connectives, as outlined in the text. Looking across each statement is helpful to understand the idea as a whole, and it is also a helpful way to make sure the symbolic notation is equivalent to the words provided.
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