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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
