What is the correct difference between {0} and ∅?
Answer and explanation
Correct answer: {0} is a singleton and ∅ is empty
The notation {0} represents a set whose only element is the number 0, so its cardinality is 1 and it is a singleton set. The symbol ∅ represents a set with no elements at all, so its cardinality is 0 and it is the empty set. Zero is an element in {0}; it is not the same as having no elements. Hence option C is correct.
Frequently asked questions
What is the correct answer to this question?
{0} is a singleton and ∅ is empty
Why is this the correct answer?
The notation {0} represents a set whose only element is the number 0, so its cardinality is 1 and it is a singleton set. The symbol ∅ represents a set with no elements at all, so its cardinality is 0 and it is the empty set. Zero is an element in {0}; it is not the same as having no elements. Hence 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.
