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 171: 35

Answer

See below.

Work Step by Step

The sentence in "if...then" form is: If a person is an attorney, then he or she has passed the bar exam. 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 a person has passed the bar exam, then he or she is an attorney. Inverse: If a person is not an attorney, then he or she has not passed the bar exam. Contrapositive: If a person has not passed the bar exam, then he or she is not an attorney.
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