subset
Sign in to save150px|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.
Article
11 sectionsContents
- 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.