Inequality to Interval Notation Calculator
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Interval Notation Guide
Common interval notations:
- (a, b) = {x | a < x < b}
- [a, b] = {x | a ≤ x ≤ b}
- (a, b] = {x | a < x ≤ b}
- [a, b) = {x | a ≤ x < b}
- (-∞, b) = {x | x < b}
- (-∞, b] = {x | x ≤ b}
- (a, ∞) = {x | x > a}
- [a, ∞) = {x | x ≥ a}
Symbols Used
| Symbol | Meaning | Example |
|---|---|---|
| ( ) | Open interval (exclusive) | (2, 5) means 2 < x < 5 |
| [ ] | Closed interval (inclusive) | [2, 5] means 2 ≤ x ≤ 5 |
| ∞ | Infinity | (-∞, 5) means x < 5 |
| ∪ | Union | (-∞, 2) ∪ (5, ∞) |
Common Applications
- Domain and range of functions
- Solution sets of inequalities
- Set theory and mathematical analysis
- Real number line representations
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