Answer to Question #50880 in Discrete Mathematics for nura

Question

How is a set with one element in it called?

Answer 1

In mathematics, a singleton, also known as a unit set,is a set with exactly one element.
For example, the set {0} is a singleton.
Singleton Set:
A set which contains only one element is called a singleton set.
For example:
• A = {x : x is neither prime nor composite}
It is a singleton set containing one element, i.e., 1.
• B = {x : x is a whole number, x < 1}
This set contains only one element 0 and is a singleton set.
• Let A = {x : x ∈ N and x² = 4}
Here A is a singleton set because there is only one element 2 whose square is 4.
• Let B = {x : x is a even prime number}
Here B is a singleton set because there is only one prime number which is even, i.e., 2.