🎓 Graphing & Visualization • Coordinate Geometry
100% Client-Side Privacy
Interactive Number Line Inequality Visualizer
Visualizes 1D inequalities and intervals with open and closed circle endpoints on the real number line.
1D Real Number Line Inequality Visualizer
Visualize open/closed rays, bounded intervals, disjoint unions, and absolute value inequalities
a =
Interval Notation:[-2, ∞)
Set-Builder Notation:{x ∈ ℝ | x ≥ -2}
What is a Number Line?
A number line is a visual representation of the real numbers along a straight horizontal line, used to illustrate inequalities, absolute values, and intervals.
Formula & Step-by-Step Calculation
Open Circle (○): Strict (<, >), Closed Circle (●): Inclusive (≤, ≥)
Standard mathematical boundary conventions.
Worked Step-by-Step Examples
Example 1
Graph x ≥ -2
Solution: Closed circle at -2 with right-facing shaded arrow extending to +∞
• -2 is included in the solution set ⟹ closed circle at -2; x is greater ⟹ shade right
Common Real-World & Academic Use Cases
- ✓ Middle school and high school algebra inequality visualization
- ✓ Calculus domain interval representations
- ✓ Visualizing union and intersection of sets
How to Use the Interactive Number Line Inequality Visualizer
1
Choose Inequality Type
Select Ray (≥, >, ≤, <) or Bounded Interval.
2
Set Boundaries
Specify endpoints a and b.
3
View Number Line
Inspect the shaded segment and endpoint circles.
Frequently Asked Questions
Q: Why is an open circle used for strict inequalities?
An open circle indicates that the boundary value itself is excluded from the solution set.