### Home > INT1 > Chapter 10 > Lesson 10.1.1 > Problem10-19

10-19.

Write and solve an absolute value inequality for this situation.

Your car averages $31$ mph on the highway, but the actual mileage varies from average by at most $5$ mph. What is your range of mileage?

Let the variable $x$ represent the actual mileage.

The variance between the average mileage and the actual mileage can be described using $|x − 31|$.

$|x − 31| ≤ 5$