1. Solving Absolute Value Inequalities
Use the following principles for solving absolute value inequalities:
1) If
(less than)
Then
2) If
(greater than)
Then

2. Less Than – Less Than or Equal (<, ≤)
Memory Hints
Less Than – Less Than or Equal (<, ≤)
Write the sentence again, only without the absolute value sign …
… and then finish …

3. Greater Than – Greater Than or Equal (>, ≥)
Memory Hints
Greater Than – Greater Than or Equal (>, ≥)
Write the sentence again, only without the absolute value sign …
… and then finish …

4. Example 1
Solve:
Using the less than principle, we have …
… or in interval notation …

5. Example 2
Solve:
Using the greater than principle, we have …
In interval notation …

6. Example 3
Solve:
Get the absolute value expression on a side by itself
Using the less than principle, we have …

7. In interval notation …

8. END OF PRESENTATION