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Interactive math tool

Inequality Systems: Intersection of Half-Planes

Move two boundary lines and watch the green feasible region for a system of linear inequalities.

Each inequality is a half-plane; the system’s solution is their intersection — the green region.

How it works

  1. Open the inequality-system scene.
  2. Adjust the bounding lines.
  3. Watch the green region change.
  4. Discuss whether boundaries are included.

Lead-in to LP

Identify the feasible region before optimizing an objective (later topic).

FAQ

How is this different from one-variable inequalities?

One variable yields intervals on a line; two variables yield plane regions.

Is this tool free?

Yes. It runs in the browser with no install.

Good for class demos?

Yes — project it and ask what changes when you drag a parameter.

How do I write the formula afterward?

Open the equation editor or symbol sheet and copy a clean expression.

Open inequalities tool