Properties of Superset
The following are the main qualities of a superset:
- Every set is a superset of itself.
- Each set is a subset of itself.
- A set has an endless number of supersets.
- Because the null set includes no items, we may claim that any set is a superset of an empty set, for example, every set H would be represented as H ⊃ φ
- Set B is the superset of set A if it is offered as a subset of set A.
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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.