➖ Inequality Calculator
Solve linear inequalities step-by-step.
Enter Linear Inequality
Examples:
Final Answer
x < 5
How to Solve Linear Inequalities
Solving a linear inequality is very similar to solving a normal equation. Your goal is to get the variable (usually x) completely by itself on one side of the inequality sign.
You can add, subtract, multiply, and divide both sides by the same number, just like an equation. However, there is one critical rule you must never forget:
The Golden Rule of Inequalities: If you multiply or divide both sides of an inequality by a negative number, you MUST flip the inequality sign!
Example Calculation
Let's solve: -2x + 4 < 10
- Subtract 4 from both sides: -2x < 6
- Divide both sides by -2. (Wait! We are dividing by a negative number, so we must flip the < sign to >)
- Result: x > -3
Frequently Asked Questions
Can this solve quadratics (x²)? +
Currently, this tool only parses linear inequalities (where x is not raised to any power). It supports basic terms like ax + b.
What if all the x's cancel out? +
If the variable cancels out completely, you will be left with a statement like "5 < 10". If the statement is true, the answer is "All Real Numbers". If the statement is false (like "10 < 5"), the answer is "No Solution".