[∞)
Inequality to Interval Notation Calculator
Convert inequalities to interval notation format
Enter inequality
Examples: x > 5, x <= -3, 1 < x < 5, -2 <= x <= 3
📐Interval Notation Rules
Parentheses ( )
Use for < or > (exclusive)
x > 5 becomes (5, ∞)
Brackets [ ]
Use for ≤ or ≥ (inclusive)
x ≤ 5 becomes (-∞, 5]
Infinity ∞
Always use parentheses with ∞
Never [∞ or -∞]
Compound Intervals
Use both brackets for ranges
1 < x ≤ 5 becomes (1, 5]
💡Common Conversions
x > 3 → (3, ∞)
x ≥ 3 → [3, ∞)
x < -2 → (-∞, -2)
x ≤ -2 → (-∞, -2]
1 < x < 5 → (1, 5)
-2 ≤ x ≤ 3 → [-2, 3]
💼Applications
Mathematics
• Domain and range
• Solution sets
• Function intervals
Statistics
• Confidence intervals
• Data ranges
• Valid values
Science
• Measurement bounds
• Valid parameters
• Error margins