## Thinking Mathematically (6th Edition)

The sentence in "if...then" form is: If a person is a voter then he or she is a citizen. 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 is a citizen, then he or she is a voter. Inverse: If a person is not a voter, then he or she is not a citizen. Contrapositive: If a person is not a citizen, then he or she is not a voter.