What is Singleton Set?
A set is referred to as a singleton set when the number of elements in the set is one. The set of the form S = {a} is called a singleton set. The singleton sets are always finite as it has only 1 element.
Singleton Set Definition
Singleton set is defined as a set containing only one element. In other words, the set with one element is called a singleton set. The singleton set is also known as a unit set as the number of elements in the singleton set is a unit.
Singleton Set Symbol
The symbol of the singleton set is written as:
P = {x}
where:
- P is a singleton set with an element x
Singleton Set
Singleton set is a set with only one element. An example of a singleton set is an even prime number since there is only one prime number and all other primes are odd. Thus, the set of even prime numbers is a singleton set.
In this article, we will explore the singleton set, singleton set definition, singleton set symbol, singleton set examples, the cardinality of the singleton set, the power set of the singletons set, and others in detail.
Table of Content
- What is Singleton Set?
- Singleton Set Examples
- Cardinality of Singleton Set
- Power Set of a Singleton Set
- Properties of the Singleton Set
- Venn Diagram of a Singleton Set
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