# Inequality Calculator

> Solve a one-variable linear inequality of the form ax + b ◊ cx + d for <, ≤, >, or ≥. Returns the solution interval, a number-line description, and the flip step when dividing by a negative.

**URL:** https://www.calculatoranswers.com/inequality-calculator
**Category:** Education

## Quick Answer

Solve a one-variable linear inequality. Enter the coefficients to get the solution set, interval notation, and a written number-line description saying which endpoint is open and which way to shade.

## Definition

An inequality calculator is an algebraic tool that determines the set of values that satisfy a mathematical inequality. This one handles linear inequalities in a single variable, applying the rule that the sign reverses when both sides are multiplied or divided by a negative number. Quadratic, polynomial, rational and absolute-value inequalities are not supported. It outputs the solution set in inequality notation, in interval notation, and as a written number-line description; the line itself is not drawn. Algebra students use this utility to verify homework and visualize solution intervals.

## How to Use

1. **Enter the inequality** — Enter the coefficients on each side and pick the relational operator from the list.
2. **Choose the operator** — Pick less-than, less-than-or-equal, greater-than or greater-than-or-equal. There is one variable, so there is nothing to disambiguate.
3. **Read the solution** — View the solution set, the interval notation, the written number-line description, and the flip step if dividing by a negative reversed the sign.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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