Superset Symbol
The superset symbol, often known as or, is a mathematical symbol that represents the notion of one set being a superset of another. A set A is said to be a superset of another set B if every constituent of set B is also an element of set A. In other words, set A contains all of the components in set B.
Here’s what the symbols ⊃ and ⊇ stand for:
- ⊃ (Superset Symbol): This symbol represents a strictly superset connection. If A ⊃ B, then set A is a superset of set B and must contain at least one element not found in set B. In other words, A is larger than B and contains items not present in B.
- ⊇ (Superset or Equal Symbol): This symbol represents a superset connection that may or may not be equal. If A ⊇ B, it signifies that set A is a superset of set B, and it may include all of the same items as set B as well as more elements.
These connections can be expressed mathematically as follows:
- A ⊃ B => This can be translated as “A is a strict superset of B” or “A contains all of B’s elements and possibly more.”
- A ⊇ B => This is equivalent to saying “A is a superset of B, including the possibility that they are equal.”
The superset symbol is widely used in mathematics and set theory to express connections between sets, and it is critical to understanding set inclusion and confinement.
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.