Which statement is correct about ∅ and {∅}?
Answer and explanation
Correct answer: ∅ has no elements, whereas {∅} has one element
The symbol ∅ denotes a set with no elements, so its cardinality is 0. In contrast, {∅} is a set whose sole element is the empty set itself; therefore its cardinality is 1. The braces change the role of ∅ from representing a set to being an element inside another set. Hence A is correct.
Frequently asked questions
What is the correct answer to this question?
∅ has no elements, whereas {∅} has one element
Why is this the correct answer?
The symbol ∅ denotes a set with no elements, so its cardinality is 0. In contrast, {∅} is a set whose sole element is the empty set itself; therefore its cardinality is 1. The braces change the role of ∅ from representing a set to being an element inside another set. Hence A 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.
