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subset

File:Venn_A_subset_B.svg · Wikimedia Commons · See Wikimedia Commons

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subset

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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

Instance of
binary relation
Part of
power set
Image
PolygonsSet EN.svg
Show 8 more facts
maintained by WikiProject
WikiProject Mathematics
definition domain
set
codomain
set
opposite of
superset
Unicode character
⊂
TeX string
\subset
Commons category
Subsets
studied by
set theory
Sources (1)

via Wikidata · CC0

~7 min read

Encyclopedic overview

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.

Excerpted from Wikipedia’s “subset” article, available under the CC BY-SA 4.0 licence.

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