3.6 Solving Absolute Value Equations and Inequalities

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Presentation transcript:

3.6 Solving Absolute Value Equations and Inequalities

Solve the equation. |x + 2| = 3

Answer x = -1 x = -5

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

Answer x = -9 x = 9

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

Answer x = -3 x = 3

Solve the equation. -2|x – 4| = -8

Answer x = 8 x = 0

Solve the inequality and graph the solution. |x + 8| > 3

Answer x > -5 OR x < -11

Solve the inequality and graph the solution. |3x + 1| > 8

Answer x > 7/3 OR x < -3

Solve the inequality and graph the solution. |5x – 4| < 16

Answer x > -12/5 AND x < 4

Solve the inequality and graph the solution. |2x-5|< 9

Answer x > -2 AND x < 7

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

Answer NO SOLUTION

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

Answer x = 14 x = -2