📐 Inequality to Interval Notation Calculator
Convert inequalities to interval notation
How to Use This Calculator
1
Enter Inequality
Type an inequality like "x > 2" or "-3 < x < 5"
2
Convert
See the interval notation equivalent
Conversion Examples
Examples:
- x > 2 → (2, ∞)
- x ≥ 3 → [3, ∞)
- x < -1 → (-∞, -1)
- x ≤ 5 → (-∞, 5]
- 2 < x < 5 → (2, 5)
- 2 ≤ x ≤ 5 → [2, 5]
About Inequality to Interval Notation Calculator
The Inequality to Interval Notation Calculator converts mathematical inequalities to interval notation, a compact way to represent sets of real numbers. This is especially useful in calculus and analysis.
Conversion Rules
- < and > use parentheses (exclusive)
- ≤ and ≥ use square brackets (inclusive)
- -∞ and ∞ always use parentheses
Frequently Asked Questions
How do I convert "x ≥ 3"?
x ≥ 3 means x is greater than or equal to 3, so in interval notation: [3, ∞). The bracket means 3 is included.
What if I have two inequalities?
For inequalities like 2 < x < 5, use interval notation (2, 5) meaning x is between 2 and 5, exclusive.