Which statement about the empty set is most appropriate?
Answer and explanation
Correct answer: It has 0 elements
The empty set, written as ∅ or {}, is the set containing no elements. Its cardinality is therefore zero: n(∅) = 0. This does not mean that 0 is an element of the empty set; the number 0 describes how many elements it has. The empty set is also finite because its number of elements is limited. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
It has 0 elements
Why is this the correct answer?
The empty set, written as ∅ or {}, is the set containing no elements. Its cardinality is therefore zero: n(∅) = 0. This does not mean that 0 is an element of the empty set; the number 0 describes how many elements it has. The empty set is also finite because its number of elements is limited. Hence option B 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.
