Which statement is correct for ∅ and {∅}?
Answer and explanation
Correct answer: {∅} has one element
The symbol ∅ represents the empty set, so it has zero elements. The notation {∅} is different: the outer braces create a set whose only member is the empty set itself. Thus {∅} is a singleton set and has exactly one element. The empty set and the singleton containing it are not equal. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
{∅} has one element
Why is this the correct answer?
The symbol ∅ represents the empty set, so it has zero elements. The notation {∅} is different: the outer braces create a set whose only member is the empty set itself. Thus {∅} is a singleton set and has exactly one element. The empty set and the singleton containing it are not equal. Therefore, option C 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.
