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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