Solving Absolute Value Inequality

Solve absolute value inequalities step-by-step. Practice problems with solutions for algebra students.

What is the solution set of the inequality | 8x + 3| < 1 ? - 1 < x < - 1 -4 < x < -2 -5 < x < -3 -3 < x < - 1 Which graph is the solution to this inequality?|3 - 2x| < 7 Solve | 3m + 2| < 4 -2 < m < 3 -3 < m < 2 -2 m < 4 -2 < m < 2 What is the solution set for the absolute value inequality -9 | 7x + 3| > - 27 ? x< 0 or x < 6 0 < x < 6 -6 <x < 0 x > 0 or x > 6 What is the solution set of the inequality 5 - | x + 4 | < - 3 ? -2 <x < 6 x < - 2 or x > 6 -12 < x < 4 x < - 12 or x > 4 Solve for x: 4 | 3x - 5| + 20 > 6 x < 4 or x > 2 x > 14 < - 4 All real numbers No Solution Solve for c: | 3c + 5 | < - 2 1 < c < 7 c < 1 or c > 7 All Real Numbers No Solution Solve 4 | x - 2 | +5 < 17 Solve 3 | x+4 | -5 > 10