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**2.2 Solve Absolute Value Equations and Inequalities**

Math Midterm: March 11

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**Vocabulary a FAKE solution Extraneous Solution**

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

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**Make sure to check for FAKE solutions**

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

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**Make sure to check for FAKE solutions**

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

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**Make sure to check for FAKE solutions**

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

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**Make sure to check for FAKE solutions**

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

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2.2 Continued Math Midterm: March 11

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

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

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

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