Set Builder Notation Calculator

Generate set-builder notation from a variable, a domain, and a condition.

Last updated: June 2026 | By Patchworkr Team

Variable

Domain

Condition

Set-builder notation

Generate notation to see the result

What Is Set-Builder Notation?

Set-builder notation describes a set by stating the property that members must satisfy.

Choose a variable name.
Choose a domain.
Write the condition the variable must satisfy.
Format the statement as a set-builder expression like { x ∈ ℝ | x is positive }.

If the variable is x, the domain is ℝ, and the condition is x is positive, then the notation is { x ∈ ℝ | x is positive }.

It means such that.

Yes. Any short variable name works.

Yes. The calculator offers common number sets.

No. It only formats the notation.

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