Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.2 Compound Statements and Connectives - Exercise Set 3.2 - Page 133: 48

Answer

It is July 4th if and only if we are not having a barbecue.

Work Step by Step

q: It is July 4th. $\neg r$: We are not having a barbecue. The arrow pointing in both directions indicates that we should use an "if and only if" in our statement. Thus, the given symbol means: It is July 4th if and only if we are not having a barbecue.
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