Which option is correct about ∅ and {∅}?
Answer and explanation
Correct answer: {∅} has one element, so it is not empty
The symbol ∅ denotes the empty set, which contains no elements at all. In contrast, {∅} is a set whose only element is the empty set itself. Therefore, {∅} has exactly one element and is a singleton set, whereas ∅ has zero elements. They are different sets, and neither statement about both being equal or infinite is correct.
Frequently asked questions
What is the correct answer to this question?
{∅} has one element, so it is not empty
Why is this the correct answer?
The symbol ∅ denotes the empty set, which contains no elements at all. In contrast, {∅} is a set whose only element is the empty set itself. Therefore, {∅} has exactly one element and is a singleton set, whereas ∅ has zero elements. They are different sets, and neither statement about both being equal or infinite 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.
