CPM Homework Help : INT1 Problem 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?

Hint:

Let the variable $x$ represent the actual mileage.

More Help:

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

Answer:

$|x − 31| ≤ 5$