Which set is not an empty set?
Answer and explanation
Correct answer: {∅}, the set containing the empty set
The empty set ∅ has no elements, and the notation {} also represents a set with no elements. However, {∅} is different: it contains one element, namely the empty set itself. Therefore, {∅} is a singleton set and is not empty. Also, no integer has square −1, so option D represents the empty set.
Frequently asked questions
What is the correct answer to this question?
{∅}, the set containing the empty set
Why is this the correct answer?
The empty set ∅ has no elements, and the notation {} also represents a set with no elements. However, {∅} is different: it contains one element, namely the empty set itself. Therefore, {∅} is a singleton set and is not empty. Also, no integer has square −1, so option D represents the empty set.
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.
