If A = {∅} and B = {{ }}, choose the correct conclusion.
Answer and explanation
Correct answer: A = B
The notation {} is another way to write the empty set ∅. Therefore B = {{}} means that B contains one element, namely the empty set. Similarly, A = {∅} also contains one element, namely ∅. Thus A and B both represent the singleton set whose only element is the empty set. They are equal, but neither A nor B is itself empty. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The notation {} is another way to write the empty set ∅. Therefore B = {{}} means that B contains one element, namely the empty set. Similarly, A = {∅} also contains one element, namely ∅. Thus A and B both represent the singleton set whose only element is the empty set. They are equal, but neither A nor B is itself empty. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
