Which statement about ∅ and {0} is correct?
Answer and explanation
Correct answer: ∅ has 0 elements, whereas {0} has 1 element.
The symbol ∅ denotes the empty set, which contains no elements, so its cardinality is 0. The notation {0} denotes a set whose only element is the number 0, so its cardinality is 1. The braces are important: ∅ has no member, while {0} contains one member. Therefore, statement B is correct and the two sets are not equal.
Frequently asked questions
What is the correct answer to this question?
∅ has 0 elements, whereas {0} has 1 element.
Why is this the correct answer?
The symbol ∅ denotes the empty set, which contains no elements, so its cardinality is 0. The notation {0} denotes a set whose only element is the number 0, so its cardinality is 1. The braces are important: ∅ has no member, while {0} contains one member. Therefore, statement B is correct and the two sets are not equal.
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.
