Absolute Value Solver Calculator
Solve absolute value equations and inequalities with detailed solutions.
Enter Absolute Value Expression
|ax + b| = c
Solution
Equation
|1x -3| = 5
Solution
x = 8 or x = -2
Interval/Set Notation
Explanation
Case 1: 1x + -3 = 5 → x = 8 Case 2: 1x + -3 = -5 → x = -2
Solving Absolute Value
Equations: |ax + b| = c
- • If c < 0: No solution
- • If c = 0: ax + b = 0 (one solution)
- • If c > 0: ax + b = c OR ax + b = -c (two solutions)
Inequalities
- • |ax + b| < c: Solution is between -c and c
- • |ax + b| > c: Solution is outside -c and c