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Absolute Value Calculator

Calculate |x| or solve a linear absolute value equation or inequality of the form |a·x + b| compared with c. The solution is shown with interval notation and a number line.

Equation form supported: |a·x + b| compared with a real number c. Inputs are limited to ±1 trillion. This is not a general symbolic algebra solver.

Absolute value is the distance from zero, so it is never negative.

How do I solve an absolute value equation?

For |a·x + b| = c, split it into a·x + b = c and a·x + b = −c. This calculator also handles strict and inclusive inequalities for one linear expression inside the absolute value.

Frequently asked questions

How do I solve an absolute value equation?

For |a·x + b| = c, split it into a·x + b = c and a·x + b = −c. This calculator also handles strict and inclusive inequalities for one linear expression inside the absolute value.

Are my values uploaded?

No. The calculation runs in this browser. The values are not uploaded or saved by this tool.

What does absolute value mean?

Absolute value is a number’s distance from zero. For example, |−5| and |5| are both 5.

How do I solve |x| = 3?

The solutions are x = −3 and x = 3, because both numbers are 3 units from zero.

Can this solve any absolute value expression?

It solves |a·x + b| compared with one real number. It does not solve quadratics, nested absolute values, multiple variables or general symbolic expressions.