What is a Superset?
If we have two sets, a superset in Maths is a set that includes almost all of the items of the smaller set. If P and Q are two sets, and P is the superset of Q, then Q is the smaller set, and all of Q’s elements are present in P. Components/members of a given set are entities or items that belong to a certain sort of set. In arithmetic, relations, and functions, a set is commonly represented by capital letters, whereas the components are represented by lowercase letters. All of the items are enclosed by braces'{}’.
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Superset Definition
Set A is termed the superset of set B if all of the components of set B are also elements of set A. For example, if set A = {21, 22, 23, 24} and set B = {21, 23, 24} we may say that set A is the superset of B. Because the components of B [(i.e.,)21, 23, 24] are in set A. We may also state that B is not a superset of A.
The following illustration shows the relationship between the set and its superset using Venn Diagram.
What is Superset?
Superset is one of the not-so-common topics in the set theory, as this is not used as much as its related term i.e., Subset. A superset is a set that contains all of the items of another set, known as the subset. We know that if B is contained within A which means A contains B. In other words, if B is a subset of A, then A is its superset.
In this article, the concept of superset is discussed in plenty of detail. Other than that, its definition, symbols, properties, and several solved examples as well.