Absolute Value Solver
Solve absolute-value equations and inequalities
About this calculator
The Absolute Value Solver solves absolute-value equations and inequalities of the form |ax + b| = c, <, ≤, >, or ≥ c. It returns the exact solution set as points, an interval, or a union of rays, lists the critical points and vertex, and draws the V-shaped graph against the level line so you can see why. Use it for algebra homework and exam prep.
How to use the Absolute Value Solver calculator
- Enter the values for your problem into the input fields.
- Read the result — it updates instantly as you type.
- Check the formula and the visual explanation to follow how the answer was found.
- Copy the page URL to share the exact calculation.
Common examples
- |x| = 3 → x = −3 or x = 3
- |x − 1| ≤ 2 → −1 ≤ x ≤ 3
- |2x + 1| > 5 → x < −3 or x > 2
- |x + 4| = −1 → no solution (an absolute value is never negative)
- |x − 2| ≥ 0 → all real numbers
Frequently asked questions
How does the Absolute Value Solver calculator work?
Enter your values and the calculator applies the exact mathematical method for this problem, showing the result together with the formula it used. Everything is computed with high-precision arithmetic, so the answer you see is not limited by ordinary floating-point rounding.
When would I use the Absolute Value Solver calculator?
It is useful for homework and exam preparation, for checking work done by hand, and whenever a step in a larger problem needs this calculation done quickly and reliably.
How accurate are the results?
Calculations run at 30 significant digits of precision internally. Displayed values are rounded for readability, but the underlying result is far more precise than a typical hand or pocket-calculator computation.
Can I share a specific calculation with someone else?
Yes. Every value you enter updates the URL, so copying the address bar and sharing the link reopens the exact same calculation for whoever clicks it.