# set-builder notation

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## English

[edit]### Noun

[edit]- (set theory) A mathematical notation for describing a set by specifying the properties that its members must satisfy.
**2000**, Kenneth E. Hummel, Introductory Concepts for Abstract Mathematics^{[1]}, CRC Press (Chapman & Hall/CRC), page 123:- With this idea for describing a finite set of sets, it is easy to generalize the concept to a certain infinite family of sets . Once again, the power of
**set builder notation**triumphs. The sets and may be described more precisely with**set builder notation**than by enumeration.

**2011**, Tom Bassarear,*Mathematics for Elementary School Teachers*, Cengage Learning, 5th Edition, page 56,- In this case, and in many other cases, we describe the set using
**set-builder notation**: - This statement is read in English as "
*Q*is the set of all numbers of the form such that*a*and*b*are both integers, but*b*is not equal to zero."

- In this case, and in many other cases, we describe the set using
**2012**, Richard N. Aufmann, Joanne Lockwood,*Intermediate Algebra*, Cengage Learning, 8th Edition, page 6,- A second method of representing a set is
**set-builder notation**.**Set-builder notation**can be used to describe almost any set, but it is especially useful when writing infinite sets. In**set-builder notation**, the set of integers > −3 is written

- A second method of representing a set is

### Further reading

[edit]-
**Set-builder notation**on Wikipedia.Wikipedia -
**Intension**on Wikipedia.Wikipedia - "Set-Builder Notation" in Mathwords.