Math

Interval Notation Calculator

Build interval notation from endpoints and inclusivity.

Parameters Live Compute
Calculated Output
Interval [2, 5)
Formula: [ ] = included, ( ) = excluded
Step-by-Step Breakdown
1. Values used:
2. Lower bound = 2
3. Upper bound = 5
4.
5. Interval = [2, 5)
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Interval notation compactly describes a range of numbers using brackets and parentheses.

The math behind it

Square brackets [ ] include the endpoint; parentheses ( ) exclude it. So [2, 5) means 2 ≤ x < 5.

Worked Example

Lower 2 included, upper 5 excluded → [2, 5).

Frequently Asked Questions

How do I write 'all reals'?

(−∞, ∞), always with parentheses since infinity is never included.

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