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Published byKevin Ball Modified over 5 years ago

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**3.6 Solving Absolute Value Equations and Inequalities**

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Solve the equation. |x + 2| = 3

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Answer x = -1 x = -5

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Solve the equation. |2x|+3 = 21

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Answer x = -9 x = 9

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Solve the equation. |-3x|- 2 = 7

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Answer x = -3 x = 3

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Solve the equation. -2|x – 4| = -8

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Answer x = 8 x = 0

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**Solve the inequality and graph the solution.**

|x + 8| > 3

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Answer x > -5 OR x < -11

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**Solve the inequality and graph the solution.**

|3x + 1| > 8

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Answer x > 7/3 OR x < -3

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**Solve the inequality and graph the solution.**

|5x – 4| < 16

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Answer x > -12/5 AND x < 4

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**Solve the inequality and graph the solution.**

|2x-5|< 9

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Answer x > -2 AND x < 7

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Solve the equation. |5x + 2| = -4

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Answer NO SOLUTION

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Solve the equation. -8|x - 6| = -64

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Answer x = 14 x = -2

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