Singleton Set (Definition, Symbol, and Example)

Definition of Singleton Set

A Singleton Set or Unit Set is a set having exactly one element. In other words, a set A is said to be a Singleton Set if the cardinality of the set is 1 i.e., \displaystyle n(A)=1

Singleton set Symbol

Singleton Set Venn diagram

Let a Singleton Set A has only one element that is 2. Then, it can be written as:

A = {2}

Singleton Set Example

  1. \displaystyle A={x:x\in N,x<2}
  2. \displaystyle A={x:x\,\,is\,prime\,number,x<3}
  3. \displaystyle A={x:x\,is\,integer\,,\,-2<x<0}

Frequently Asked Questions (FAQ)

In mathematics, a singleton set is a set having exactly one element.

A singleton set or unit set is a set having exactly one element. The example of a singleton set is A={1}. Here, the set A has only one element i.e.,1. Therefore, A is a singleton set.

The number of the element present in a singleton set is 1.

A singleton set have 2^1=2 numbers of subsets.

Yes, {5} is a singleton set as it is the only element 5.

Yes, {0} is a singleton set as it is the only element 0 present in the set.

1. Set of all the prime numbers which are less than 3.
2. Set of all the natural numbers which are less than 2.
3. Set of all the Whole numbers which are less than 1.
4. Set of all the integers which are greater than 0 and less than 2.
5. Set of all the days in a week that starts with the letter M.
6. Set of all the days in a week that starts with the letter F.
7. Set of all the Months in a year that starts with the letter F.
8. Set of all the months in a year that starts with the letter D.
9. Set of leap years between 2015 to 2017.
10. Set of all the months in a year having less than 30 days.

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