Absolute Value Inequality Grapher

Easily graph absolute value inequalities and visualize their solutions on a coordinate plane. Enter your inequality and explore the shaded region.

Enter Absolute Value Inequality:

Use variable 'x' and inequality signs: <, >, <=, >=. For absolute value, use |.

Understanding Absolute Value Inequalities

Absolute value inequalities are used to define ranges on the number line. For example, |x| < 3 means that the distance of 'x' from zero is less than 3, resulting in the interval -3 < x < 3. Conversely, |x| > 3 means 'x' is farther than 3 units from zero, leading to x < -3 or x > 3. This tool helps visualize these inequalities by shading the regions on a graph that satisfy the given condition. Use it to explore different inequalities and deepen your understanding of absolute values in algebra.