Graph Inequalities with Shading
To graph an inequality, draw its boundary curve (dashed for < or >, solid for ≤ or ≥) and shade the side where the inequality is true; Plotline does both automatically.
At a glance
| What it is | Graph inequalities online with shaded regions. Dashed boundary for < and >, solid for ≤ and ≥. See where systems of inequalities overlap. Free. |
|---|---|
| Type | Interactive guide with a calculator |
| Level | High school and college |
| Price | Free, with no account or sign-up |
| Works offline | Yes, after the first visit; installs as an app |
| Made by | Aalok (aalok.builds@gmail.com) |
| Last updated | 1 November 2026 |
Key facts
| y > f(x) | Shade above the curve, dashed boundary |
|---|---|
| y ≥ f(x) | Shade above the curve, solid boundary |
| y < f(x) | Shade below the curve, dashed boundary |
| System of inequalities | The solution is where the shaded regions overlap |
How do you know which side to shade?
To check which side to shade, substitute a test point such as (0, 0). For y > x² − 3, 0 > −3 is true, so the region containing the origin is shaded.
How to use it in Plotline
- The graph of y > x² − 3 and y < x + 3, a system of two inequalities is already loaded above. Edit the equation in the list to change it.
- Drag the graph to move around, scroll or pinch to zoom, and tap the crosshair to reset the view.
- Hover over or tap the curve to read the coordinates of any point.
- Press Enter to add another equation and compare graphs in different colors.
Frequently asked questions
How do I type ≥ or ≤?
Type >= or <= and Plotline turns it into ≥ or ≤ as you type, or tap the symbol on the keypad. A strict > or < draws a dashed boundary, showing that points on the line itself are not included.
Is it free?
Yes. The graphing calculator is free with no account and no sign-up: plot as many equations as you like, use sliders, save graphs in your browser and share them by link. It installs as an app and keeps working offline.
Learn more
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Plotline is an independent project and is not affiliated with Desmos, Texas Instruments or Casio.