Systems of Inequalities
Solve systems of linear, quadratic and rational inequalities in one variable with a number line.
For example: x^2 − 7x + 10 <= 0 or 1 < 2x + 3 <= 7. Signs: <, >, <=, >=. Polynomials and fractions in x are allowed.
The system of inequalities calculator solves systems of linear, quadratic and rational inequalities in one variable and shows the solution on a number line.
How to solve a system
- Solve each inequality separately.
- Mark the solutions on one number line.
- The answer is the part common to all solutions.
Example. 2x − 1 > 3 gives x > 2, and x² − 7x + 10 ≤ 0 gives 2 ≤ x ≤ 5. The common part is (2, 5].
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