Practice Problems on Singleton Set

Q1. Write all the singleton subsets of the set {1, 6, 9, 15}.

Q2. What is the power set of given singleton set S = {p}.

Q3. Check whether the set P = {x: x3= 8} is singleton set or not?

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

Similar Reads

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 Examples

All the sets with only one element are singleton sets. Some examples of singleton sets are:...

Cardinality of Singleton Set

The cardinality of singleton set is 1 as the number of elements present in the singleton set is 1. Since the singleton set contains only one element the cardinal number of singleton set is 1....

Power Set of a Singleton Set

The power set of a singleton set contains two elements the null set and the singleton set itself. The cardinality of the power set of a singleton set is 2 as it contains only two elements....

Properties of the Singleton Set

Some properties of singleton set are:...

Venn Diagram of a Singleton Set

Venn diagrams are the pictorial representations of any set. Below Venn diagram represents a singleton set....

Singleton Set Vs Empty Set

The table below gives us the difference between the singleton set and empty set....

Solved Singleton Set Examples

Example 1: Check whether the given sets are singleton sets or not?...

Practice Problems on Singleton Set

Q1. Write all the singleton subsets of the set {1, 6, 9, 15}....

Singleton Set FAQs

Define Singleton Set with Example?...

Contact Us