Interval Notation Calculator

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The smaller boundary of the interval. Use a plain number; the calculator handles -∞ automatically when you choose an unbounded type.
The larger boundary of the interval. Must be greater than or equal to the left endpoint.
Select how the endpoints are treated. Square brackets [ ] include the endpoint; parentheses ( ) exclude it. Infinity is always excluded.
Interval notationClosed interval
[2, 7]

Standard mathematical interval notation with brackets and parentheses.

Equivalent inequality2 ≤ x ≤ 7
Set-builder notation{ x | 2 ≤ x ≤ 7 }
Interval length5
Topology typeClosed
Midpoint4.5

Interval: [2, 7]

  • This interval is equivalent to the inequality: 2 ≤ x ≤ 7.
  • The interval spans 5 units from 2 to 7.
  • The midpoint of this interval is 4.5.

Next stepTo convert back to an inequality, read the brackets: [ means include (use ≤), ( means exclude (use <). Infinity is always paired with a parenthesis.

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