Set Builder Notation

A way to describe a set by specifying a property that its elements must satisfy, used when elements cannot be conveniently listed. Written as $\{x:P(x)\}$ or $\{x\mid P(x)\}$. For example, $\{x\in \mathbb{Z}:x>0\}$ denotes the positive integers.

See Also

• set
• RosterNotation
• open sentence