Question

A set that contains only one element is called________

Answer 1

A set that contains only one element is called Singleton or unit set.

In mathematics, a singleton, also known as a unit set, is a set with exactly one element.

Let ,

S be a class defined by an indicator function

${\displaystyle b:X\to \{0,1\}.}{\displaystyle b:X\to \{0,1\}.}</p><p>Then {\displaystyle S}$

S is called a singleton if and only if there is some y ∈ X such that for all x ∈ X,

${\displaystyle b(x)=(x=y).}$

Answer 2

A set that contains only one element is called a unit set.

• A set comprises several elements like numbers, variables, etc., and sometimes even other sets.
• When a set has only a single element, it is known as a unit set or singleton. The elements of such sets form complete sets.
• For example, A={1} is a unit set because the only element it has is 1.
• It is also a finite set because the number of its elements can be counted.