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Inequality Calculator

Solve one-variable linear inequalities in the form ax + b < c. See the solution, interval notation, number-line graph, and clear step-by-step working.

x < 4

Enter your inequality

x +
The calculator solves inequalities written as ax + b <, ≤, >, or ≥ c.
Steps
3x + 6 < 18
3x < 12
x < 4

Solution

FINAL ANSWER
x < 4
All real numbers less than 4 satisfy the inequality.
Interval notation(−∞, 4)
Boundary value4
EndpointOpen circle
DirectionLeft

How to solve a linear inequality

1. Isolate the x-term

Subtract the constant from both sides.

2. Divide by a

Divide both sides by the coefficient of x.

3. Reverse if negative

Flip the inequality sign when dividing by a negative number.

Important: Multiplying or dividing both sides by a negative number reverses the inequality sign.

Frequently asked questions

What is an inequality?

An inequality compares two expressions using symbols such as <, ≤, >, or ≥ instead of an equals sign.

Why does the inequality sign sometimes reverse?

The sign reverses whenever both sides are multiplied or divided by a negative number.

What does an open circle mean?

An open circle means the boundary value is not included. A filled circle means it is included.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

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