2.2Solve Absolute Value

Equations and Inequalities

Math Midterm: March 11

Vocabulary Extraneous Solution

An apparent solution that must be rejected because it does not satisfy the original equation

a FAKE

solution

Example 1: Solve |x – 3| = 6

Make sure to check for

FAKE solutions

Checkpoint: Solve the equation.1. |x| = 5

2. |x – 5| = 2

Make sure to check for

FAKE solutions

Example 2: Solve |4x + 10| = 6x

Make sure to check for

FAKE solutions

Checkpoint: Solve the equation:1. |2x + 5| = 11

2. |3x + 18| = 6x

Make sure to check for

FAKE solutions

2.2Continued

Math Midterm: March 11

Example 3: Solve |2x + 5| > 3

greatOR

Example 4: Solve |x – 1.5| < 4.5

less thAND

Checkpoint: Solve the inequality. 1. |x – 2| > 7

2. |4x – 1| < 9