Which statement is correct about the set {0}?
Answer and explanation
Correct answer: It is non-empty and has one element
The notation {0} means a set whose single element is the number 0. It is important not to confuse the set {0} with the empty set ∅. The empty set contains no elements, whereas {0} contains exactly one element. Therefore, {0} is a non-empty singleton set and option A is correct.
Frequently asked questions
What is the correct answer to this question?
It is non-empty and has one element
Why is this the correct answer?
The notation {0} means a set whose single element is the number 0. It is important not to confuse the set {0} with the empty set ∅. The empty set contains no elements, whereas {0} contains exactly one element. Therefore, {0} is a non-empty singleton set and option A is correct.
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.