What is a singleton set ? Write its examples.
Answers
mathematics, a singleton, also known as a unit set, is a set with exactly one element. For example, the set {null } is a singleton containing the element null. The term is also used for a 1-tuple (a sequence with one member).
In mathematics single ton set is know as a unit set , it contains exactly only one element..
eg - set { 3}
you may see in this example , that in this set there is only one element..
more sets (may help you in future)
1) Finite set
If a set is a null set or number of element are limited and countable then it is called as finite set.
eg-
C = {plp is number from 1 to 22 divisible by 4}
C ={ 4 , 8, 12, 16, 20,}
2) Finite set
If a number of elements in a set countable then the set ia called infinite set
eg- 1. set if natural numbers
N = {1, 2, 3....}
2. set if whole numbers
W = {0, 1 , 2 , 3....}
3) Empty set ir null set
There is not a single element in the set which satisfies the given Condition then it is called a null set ir an empty set . Null set is represented by { } or a Symbol of (phi)
eg-
B = {x | x is a natural number between 2 and 3}
B= { }
hope this will help you friend.