### Home > PC3 > Chapter 11 > Lesson 11.2.5 > Problem11-159

11-159.

Write and solve an absolute value inequality for the following situation.

The gas consumption of a particular car averages $30$ miles per gallon on the highway, but the actual mileage varies from the average by at most $4$ miles per gallon. How far can the car travel on a $12$-gallon tank of gas?

Let $m = \text{miles}$. Since the information given is in miles per gallon, write an inequality where all terms represent miles per gallon.

$\text{actual mileage − predicted average milage = mpg variance}$