How many elements are in the set A = {∅}?
Answer and explanation
Correct answer: 1
The notation A = {∅} means that the empty set itself is enclosed in braces and is being treated as one element of A. Thus, A has exactly one element, namely ∅, and its cardinality is |A| = 1. This must be distinguished from A = ∅, which has no elements. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The notation A = {∅} means that the empty set itself is enclosed in braces and is being treated as one element of A. Thus, A has exactly one element, namely ∅, and its cardinality is |A| = 1. This must be distinguished from A = ∅, which has no elements. Therefore, option B 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.