≥ MathTools

System of Inequalities Calculator

A system of inequalities contains two or more inequalities. Its solution is the set of points that satisfy every inequality at the same time.

Current limitation

The calculator below currently solves one inequality at a time. It does not calculate the combined feasible region for a system.

Solve a linear inequality, visualize its solution, and understand the working with step-by-step explanations.

Supported: linear inequalities in x and y, or one-variable linear inequalities. Use <= or >= for inclusive boundaries.

TRY AN EXAMPLE

The graph updates as you type. Press Calculate Inequality to confirm the solution and view its working.

Your solution will appear here

Enter an inequality and press Calculate Inequality to see the confirmed solution and its explanation.

Graph

y > 2x + 1
-7-6-5-4-3-2-11234567-7-6-5-4-3-2-11234567xy
Solution: y > 2x + 1Boundary: dashed

Example of a system

y ≤ x + 2

y ≥ -x + 1

A full system calculator must graph both inequalities and identify the region where both conditions are satisfied simultaneously.

The current graphing calculator can inspect one supported inequality at a time. Use it to study each boundary separately, but do not interpret one result as the combined system solution.