The subset relation defines a partial order on sets. In fact, the subsets of a given set form a Boolean algebra under the subset relation, in which the join and meet are given by intersection and union, …

A subset of a set is a part of the set or the whole set itself. There are two types of subsets: proper subsets and improper subsets. Learn more about how to write the subsets and how to find the …

Oct 4, 2025 · A subset is a collection of elements that are entirely contained within another set, which may or may not be larger. For example, the set {1, 2} is a subset of {1, 2, 3} because all elements of …

Jul 12, 2024 · A subset is a set whose elements are all members of another set. In other words, a subset is a part of a given set. If A and B are two sets, we say A is a subset of B if every element of A is also …

Nov 27, 2025 · A subset is indicated by the symbol '⊆' and read as 'is a subset of' in set theory. In the figure below, every element of set A belongs to set B; A is called a subset of B.

If A is a subset of B (A ⊆ B), but A is not equal to B, then we say A is a proper subset of B, written as A ⊂ B or A ⊊ B. The following diagram shows an example of subset.

Jan 1, 2026 · What is a Subset? A set A is said to be a subset of a set B if every element of A is also an element of B. For example, the set of Olympic gold medalists is a subset of the larger set of all …

Illustrated definition of Subset: Part of another set. A is a subset of B when every member of A is a member of B. Example: B = 1,2,3,4,5 Then...

Dec 3, 2025 · A subset is a portion of a set. B is a subset of A (written B subset= A) iff every member of B is a member of A. If B is a proper subset of A (i.e., a subset other than the set itself), this is written …

A subset of a set A is any set B such that every element of B is also an element of A. A strict subset is a subset that isn't equal to the original set (i.e. B must have at least one fewer element than A).