Set Builder Calculator
Our set builder calculator generates the possible notations for a numeric set starting from the endpoints using the desired conditions.
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.