Which option is correct about Y = {0}?
Answer and explanation
Correct answer: It is a singleton set
The notation Y = {0} contains one element, namely the number 0. A set with exactly one element is called a singleton set. It is not empty because the element 0 is present, and it is not infinite because no other elements are listed or implied. The set {0} must also be distinguished from the empty set ∅, which has no elements.
Frequently asked questions
What is the correct answer to this question?
It is a singleton set
Why is this the correct answer?
The notation Y = {0} contains one element, namely the number 0. A set with exactly one element is called a singleton set. It is not empty because the element 0 is present, and it is not infinite because no other elements are listed or implied. The set {0} must also be distinguished from the empty set ∅, which has no elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.