Absolute Value Inequality Solver

Visualize and solve inequalities of the form |ax + b| < c, ≤, >, or ≥

Coefficient a

Coefficient b

Constant c

Inequality Type

Solution

The solution to the inequality is:

Solution Range:

Visual Representation on Number Line

The green line represents the solution range on the number line.

Understanding Absolute Value Inequalities

Absolute value inequalities involve finding the range of values for a variable that satisfy an inequality containing an absolute value expression. For example, |x| < 3 means that x is any number whose distance from zero is less than 3, thus -3 < x < 3. This tool solves inequalities of the form |ax + b| < c, |ax + b| ≤ c, |ax + b| > c, and |ax + b| ≥ c. By entering the coefficients a, b, c and choosing the inequality type, you can find the solution range for x, which is also visualized on a number line for better understanding. Use the 'Solve Inequality' button to calculate and 'Reset' to clear inputs. Copy the solution for easy use elsewhere.