### Home > CC4 > Chapter 10 > Lesson 10.1.1 > Problem 10-19

10-19.

Write and solve an absolute value inequality for this situation. Homework Help ✎

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