1. 2.2 Solve Absolute Value Equations and Inequalities
Math Midterm: March 11

2. Vocabulary a FAKE solution Extraneous Solution
An apparent solution that must be rejected because it does not satisfy the original equation
a FAKE solution

3. Make sure to check for FAKE solutions
Example 1:
Solve |x – 3| = 6
Make sure to check for FAKE solutions

4. Make sure to check for FAKE solutions
Checkpoint:
Make sure to check for FAKE solutions
Solve the equation.
|x| = 5
|x – 5| = 2

5. Make sure to check for FAKE solutions
Example 2:
Solve |4x + 10| = 6x
Make sure to check for FAKE solutions

6. Make sure to check for FAKE solutions
Checkpoint:
Make sure to check for FAKE solutions
Solve the equation:
|2x + 5| = 11
|3x + 18| = 6x

7. 2.2 Continued
Math Midterm: March 11

8. Example 3:
greatOR
Solve |2x + 5| > 3

9. Example 4:
less thAND
Solve |x – 1.5| < 4.5

10. Checkpoint:
Solve the inequality.
|x – 2| > 7
|4x – 1| < 9