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: 13

Answer

a) $\neg p$ b) $p \wedge \neg q$ c) $p \Rightarrow q$ d) $\neg p \Rightarrow \neg q$ e) $p \Rightarrow q$ f) $q\wedge \neg p$ g) $q\Rightarrow p$

Work Step by Step

To solve this problem, represent each connective word using the respective symbol and arrange the structure of the resultant statement using the conventional order for logical propositions. Use $\wedge$ for and, $\lor$ for or, $\oplus$ for exclusive-or, and $\neg$ for negation.
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