Inequality Solver
Solve linear and quadratic inequalities with complete interval notation, sign testing, and interactive number line graphs.
Awaiting Input
Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.
Solving Inequalities
An inequality compares two mathematical expressions using <, >, ≤, or ≥. Unlike standard equations that have discrete values, inequalities typically have continuous ranges of solutions represented in interval notation.
Frequently Asked Questions
How does the inequality solver graph on a number line?
The solver computes boundary roots and displays an interactive SVG number line with open circles for strict inequalities and solid closed circles for inclusive inequalities.
What happens when dividing an inequality by a negative number?
When you multiply or divide both sides by a negative number, the direction of the inequality sign must flip (e.g. > becomes <).
Can it solve quadratic inequalities like x² - 4 > 0?
Yes, it finds the critical roots and tests the sign of each interval to determine whether the solution is outside the roots or between them.