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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, and the subset relation itself is the Boolean inclusion relation.
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 an element of B.
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 number of subsets in each of these two cases.
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.
a smaller group of people or things formed from the members of a larger group. Definition of subset noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
A subset, as the name suggests, is a subcollection of any set. Let us assume we have two sets, X and Y. Mathematically speaking, X will be a subset of Y if and only if all the elements of X are present in Y.
In set theory, a subset is denoted by the symbol ⊆ and read as ‘is a subset of’. Using this symbol we can express subsets as follows: A ⊆ B; which means Set A is a subset of Set B. Note: A subset can be equal to the set. That is, a subset can contain all the elements that are present in the set.
The set D = {knife, fork} is a subset of set F, because every member or element of set D is also a member of set F. More specifically, set D is a proper subset of set F, because there are other members of set F not in set D.