## Thinking Mathematically (6th Edition)

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.