How many elements are in the set R = {∅}?
Advertisement
Answer and explanation
Correct answer: 1
The symbol ∅ denotes the empty set, which contains no elements. However, R = {∅} is a set whose only element is the empty set itself. Therefore R has exactly one element, so n(R) = 1. This is different from R = ∅, whose cardinality would be zero. Braces change the empty set into a member of a singleton set.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The symbol ∅ denotes the empty set, which contains no elements. However, R = {∅} is a set whose only element is the empty set itself. Therefore R has exactly one element, so n(R) = 1. This is different from R = ∅, whose cardinality would be zero. Braces change the empty set into a member of a singleton set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
Advertisement