Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.5 Equivalent Statements and Variations of Conditional Statements - Exercise Set 3.5 - Page 170: 19

Answer

See below.

Work Step by Step

The contrapositive of $p\rightarrow q$ is $\sim q\rightarrow p$. The converse of $p\rightarrow q$ is $q \rightarrow p$. The inverseof $p\rightarrow q$ is $\sim p\rightarrow q$. Hence here the converse is: If I am in Illinois, then I am in Chicago. The inverse: If I am not in Chicago, then I am not in Illinois. The contrapositive: If I am not in Illinois, then I am not in Chicago.
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