Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.4 Truth Tables for the Conditional and the Biconditional - Exercise Set 3.4 - Page 160: 67

Answer

The truth value of the provided compound statement with the provided condition is true.

Work Step by Step

The provided compound statement in symbolic form is \[\sim p\leftrightarrow q\]. Substitute, the truth values for simple statements\[p,q,r\] to determine the truth value for the provided compound statement\[\sim p\leftrightarrow q\]. The provided compound statement is bi-conditional statement whose ingredient variables are a negation of \[p\] with\[q\]. A bi-conditional statement is true only when the truth values of both the simple statement are same. The truth table is:
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