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: 46

Answer

The statements (a) and (c) are equivalent.

Work Step by Step

Use the following representations to determine the symbolic form of the provided statements. p: you play at least three information q: you have master’s degree in music r: you are eligible For given statement (a), The symbolic representation is\[p\wedge \left( q\to r \right)\]. For given statement (b), The symbolic representation is\[r\leftrightarrow \left( q\wedge p \right)\]. For given statement (c), The symbolic representation is\[p\wedge \left( \sim r\to \sim q \right)\].
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