## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 3 - Logic - 3.5 Equivalent Statements and Variations of Conditional Statements - Exercise Set 3.5 - Page 170: 33

See below.

#### Work Step by Step

The sentence in "if...then" form is: If a vehicle has no flashing light on top, then it is not an ambulance. The contrapositive of $p\rightarrow q$ is $\sim q\rightarrow p$. The converse of $p\rightarrow q$ is $q \rightarrow p$. The inverse of $p\rightarrow q$ is $\sim p\rightarrow q$. Hence here the converse is: If a vehicle is not an ambulance, then it has no flashing light on top. The inverse: If a vehicle has a flashing light on top, then it is an ambulance. The contrapositive: If a vehicle is an ambulance, then it has a flashing light on top.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.