If A = {∅}, which statement about A is correct?
Answer and explanation
Correct answer: A is a singleton set
The symbol ∅ denotes a set with no elements, whereas {∅} denotes a set whose only element is the empty set itself. Therefore, {∅} contains exactly one element and is a singleton set. It is not equal to ∅, because ∅ has zero elements while {∅} has one element. This distinction is fundamental in set notation.
Frequently asked questions
What is the correct answer to this question?
A is a singleton set
Why is this the correct answer?
The symbol ∅ denotes a set with no elements, whereas {∅} denotes a set whose only element is the empty set itself. Therefore, {∅} contains exactly one element and is a singleton set. It is not equal to ∅, because ∅ has zero elements while {∅} has one element. This distinction is fundamental in set notation.
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.
