Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - Chapter Summary, Review, and Test - Review Exercises - Page 208: 40

Answer

See below.

Work Step by Step

The contrapositive of $p\rightarrow q$ is $\sim q\rightarrow \sim p$. The converse of $p\rightarrow q$ is $q \rightarrow p$. The inverse of $p\rightarrow q$ is $\sim p\rightarrow \sim q$. Hence here the converse is: If today is not a holiday, then I am in class. The inverse: If I am not in class, then today is a holiday. The contrapositive: If today is a holiday, then I am not in class.
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