subset

Also known as ⊂, ⊆

150px|thumb|right|class=skin-invert-image|Euler diagram showing A is a [[subset of B (denoted A \subseteq B) and, conversely, B is a superset of A (denoted B \supseteq A)]]

AI overview

A subset is a collection of items where every item in it also belongs to a larger collection. Understanding subsets matters because it's a fundamental way to organize and compare groups of things, showing how smaller collections fit inside bigger ones.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Image: PolygonsSet EN.svg

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Unicode character: ⊂
TeX string: \subset
Commons category: Subsets

Sources (1)

wikidata.org

via Wikidata · CC0

~7 min read

Article

11 sections

Contents

Definition
Basic properties
Proper subset
⊂ and ⊃ symbols
Examples of subsets
Power set
Other properties of inclusion
See also
References
Bibliography
External links

150px|thumb|right|class=skin-invert-image|Euler diagram showing A is a [[subset of B (denoted A \subseteq B) and, conversely, B is a superset of A (denoted B \supseteq A)]]

In mathematics, a set A is a subset of a set B if and only if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion (or sometimes containment). A is a subset of B may also be expressed as B includes (or contains) A or A is included (or contained) in B. A '''k-subset' is a subset with k elements.