Interactive resource
Inequality Systems: Intersection of Half-Planes
Algebra. Move two boundary lines and watch the green feasible region for a system of linear inequalities. Free interactive GeoGebra resource — adjust…
Overview
Each inequality is a half-plane; the system’s solution is their intersection — the green region.
Explanation
A linear inequality in two variables is a half-plane.
A system’s solution is the intersection of those half-planes.
Whether the boundary is included depends on ≤/≥ vs .
How to use
- Open the inequality-system scene.
- Adjust the bounding lines.
- Watch the green region change.
- Discuss whether boundaries are included.
Lead-in to LP
Identify the feasible region before optimizing an objective (later topic).
Knowledge points
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.