Inequality grapher

Type an inequality to shade its solution region, and add more to see where they overlap. Free, no sign-up.

How to use it

There are two examples loaded. Replace them with your own.

  • Type an inequality such as y ≤ x² − 2. The keys under the list add ≤, ≥, powers, fractions and roots.
  • Press Enter for another row. Where the shaded regions overlap, every inequality holds.
  • Use any other letter, as in y > ax + 1, and it becomes a slider you can drag or play.
  • Drag to pan and scroll to zoom. Then download a PNG, or put it on a board with your worksheet.

Reading the graph

The boundary is what you get if you replace the inequality sign with an equals sign. The shaded side is the set of points that make the inequality true. To check which side is right, test a point: for y > −x + 1, the origin gives 0 > 1, which is false, so the origin is not in the region.

A dashed boundary means strict: with < or >, points on the line itself are not solutions. A solid boundary means ≤ or ≥, where they are.

Systems of inequalities

A system has as its solution the region where all the conditions hold at once, which on the graph is where all the shading overlaps. If the regions never overlap, the system has no solution. That is often easier to see in a graph than to work out algebraically, so it is a good way to check your answer.

Questions,
answered

Is this inequality graphing calculator free?

Yes. It is free, with no account and no limit, and it runs in your browser.

Can I graph functions and points as well?

Yes. Rows can hold functions, inequalities and points, all on the same graph.

Can I graph a system of inequalities?

Yes. Add one row for each inequality, and look for where the shaded regions overlap.