Which statement is true for the empty set?
Answer and explanation
Correct answer: It has no elements
The empty set, written as ∅ or {}, is defined as the set containing no elements. It must not be confused with {0}, which is a set containing one element, namely 0. The empty set is finite because its number of elements is zero. Hence the statement that it has no elements is the only correct choice.
Frequently asked questions
What is the correct answer to this question?
It has no elements
Why is this the correct answer?
The empty set, written as ∅ or {}, is defined as the set containing no elements. It must not be confused with {0}, which is a set containing one element, namely 0. The empty set is finite because its number of elements is zero. Hence the statement that it has no elements is the only correct choice.
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.
