Inequality Calculator
Solve linear inequalities and express the solution set.
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Introduction
Inequality Calculator — Solve linear inequalities and express the solution set. Enter a, b, Operator to get an instant, accurate result.
Formula
Solves ax + b (operator) 0 by isolating x: x (operator) −b/a. If a is negative, the inequality operator is flipped, as required when dividing by a negative number.
Step-by-step
- Enter the a.
- Enter the b.
- Enter the Operator.
- Click Calculate to see your result instantly.
Real-world example
Example: With a = 2, b = -4, Operator = >, the Inequality Calculator gives X: 2, Operator: >, Solution: x > 2.
Frequently Asked Questions
Why does the operator sometimes flip?
Dividing or multiplying both sides of an inequality by a negative number reverses the direction of the inequality — the calculator applies this automatically.
Can a be 0?
No, a can't be 0 or the expression isn't a linear inequality in x.
What inputs does the Inequality Calculator need?
You'll need to provide: a, b, Operator. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Inequality Calculator?
The Inequality Calculator applies the formula exactly as calculated — Solves ax + b (operator) 0 by isolating x: x (operator) −b/a. If a is negative, the inequality operator is flipped, as required when dividing by a negative number. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Inequality Calculator free to use?
Yes, the Inequality Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Inequality Calculator
The Inequality Calculator uses a real, verifiable formula — Solves ax + b (operator) 0 by isolating x: x (operator) −b/a. If a is negative, the inequality operator is flipped, as required when dividing by a negative number. — so results are accurate every time, not an approximation.