Absolute Value Calculator
Solve absolute value equations and inequalities with step-by-step solutions and number line visualization.
Results
Enter values and click Calculate to see the result.
Theory & Formula
What is Absolute Value?
The absolute value of a number is its distance from zero on the number line, always positive or zero.
Properties
|x| ≥ 0 for all x:
\(|x| \geq 0\)|x| = |-x|:
\(|x| = |-x|\)|xy| = |x| · |y|:
\(|xy| = |x||y|\)Solving Absolute Value Equations
To solve |expression| = a, split into two cases: expression = a or expression = -a
Example:
\(|2x - 3| = 7\)\(2x - 3 = 7 \text{ or } 2x - 3 = -7\)\(x = 5 \text{ or } x = -2\)