Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.6 Negations of Conditional Statements and De Morgan's Law - Exercise Set 3.6 - Page 178: 44

Answer

The given statements are not equivalent.

Work Step by Step

Use the following representations to determine the symbolic form of the provided statements. p: you file q: you provide fraudulent information r: you will prosecuted For given statement (a), The symbolic form of representation:\[\sim p\vee q\to r\]. For given statement (b), The symbolic form of representation:\[\left( p\wedge \sim q \right)\to \sim r\]. For given statement (c), The symbolic form of representation:\[\sim r\to \left( p\vee \sim q \right)\].
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