🎓 Graphing & Visualization • Function Plotters
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2D Inequality Region Shader
Visualizes half-plane and curved inequality solution sets with automated color shading.
f₁(x) =
Presets:
X: [-10.0, 10.0]Y: [-10.0, 10.0]
Drag on canvas to Pan • Click +/- to ZoomCenter: (0.0, 0.0)
What is an Inequality Graph?
An inequality graph shades the infinite region of coordinate points (x, y) that satisfy an inequality relation such as y ≥ f(x).
Formula & Step-by-Step Calculation
Solution Set: { (x, y) | y ≥ f(x) } (Upper Shaded Half-Plane)
Boundary curve with directional region shading.
Worked Step-by-Step Examples
Example 1
Graph y ≥ x² - 4
Solution: Shades the region inside and above the parabola
• Boundary curve y = x² - 4; Test point (0, 0): 0 ≥ -4 is True ⟹ shade region containing (0,0)
Common Real-World & Academic Use Cases
- ✓ Linear programming feasible region visualization
- ✓ Constraint optimization problems
- ✓ Algebra 2 inequality region analysis
How to Use the 2D Inequality Region Shader
1
Choose Operator
Select ≥, ≤, >, or <.
2
Enter Boundary Function
Input f(x).
3
Inspect Shaded Set
Review the shaded feasible solution set.
Frequently Asked Questions
Q: What is the difference between ≥ and > on an inequality graph?
Inclusive inequalities (≥, ≤) have solid boundary lines, whereas strict inequalities (>, <) have dashed boundary lines.