1. 1.7B Absolute Value Inequalities & Word Problems
Algebra II

2. Absolute Value Inequalities
The inequality , where c>0, means that ax+b is between –c and c. This is equivalent to
The inequality , where c>0, means that ax + b is beyond – c and c. This is equivalent to ax+b<-c or ax + b >c.

3. Example 1 Solve

4. Ex. 1
Graph the solution.

5. Example 2
Solve

6. Ex. 2
Graph the solution.

7. Ex 3: A manufacturer has a 0
Ex 3: A manufacturer has a 0.6oz tolerance for a bottle of salad dressing advertised as 16oz. Write and solve an absolute value inequality that describes the acceptable volumes for “16oz” bottles.
Hint: If you want within the range, use
If you want out of the range, use >
What does this mean?
If you buy a bottle of 16oz dressing, you might get one that actually has 15.4 to 16.6oz instead.

8. Ex 4: A city ordinance states that pools must be enclosed by a fence that is from 3 to 6 ft high. Write an absolute value inequality describing fences that don’t meet this ordinance.
How do you find the tolerance?
tolerance=(high end)-(avg. of low & high ends)

9. w-9.6>0.36 or w-9.6<-0.36 w>9.96 or w<9.24
Ex 5: A manufacturer has a tolerance of 0.36 lb for a bag of potting soil advertised as 9.6 lb. Write and solve an absolute value inequality that describes unacceptable weights for “9.6 lb” bags.
w-9.6>0.36 or w-9.6<-0.36 w>9.96 or w<9.24

10. Assignment