Absolute Value Inequalities Word Problems

Write an equation involving the absolute value for the graph Find the point that is the same distance from –4 as the distance from 6. The midpoint between –4 and 6 is 1. Ex 1

The distance from 1 to –4 is 5 units. The distance from 1 to 6 is 5 units. So, an equation is

#2 Ex. On your basketball team, the starting players’ scoring averages are between 6 and 10 points per game. Write an absolute-value inequality describing the scoring averages for the players. Step 1: Write as a compound inequality Step 2: Find the half way point and subtract from each part Half way between 6 and 10 is 8 Step 3: Re-write as an absolute value inequality The average number of points scored by the starting basketball players was 8 points per game and they varied by 2 points per game.

#3 Ex. Your car averages 32 miles per gallon in the city. The actual mileage varies from the average by at most 5 miles per gallon. A)Write an absolute-value inequality that shows the range for the mileage your car gets. B)Between what two numbers does the gas mileage range. The car ranges between 27 and 37 miles per gallon.