Inequality to Interval Notation Calculator

Use our inequality to interval notation calculator whenever you need to convert between inequalities and intervals. It is a two-way converter!

Clear
Interval notation[-3, 5)
Inequalityx ≥ -3 and x < 5
Set-builder notation{ x ∈ ℝ : x ≥ -3 and x < 5 }
Bounded?Yes
Length8
Typehalf-open

The method

brackets include an endpoint, parentheses exclude it

Brackets versus parentheses

A square bracket includes the endpoint; a round one excludes it. So [2, 5) means 2 ≤ x < 5 — two is in, five is out.

Infinity always takes a parenthesis, because it is not a number that can be included: (−∞, 3] is correct and [−∞, 3] is not.