If ∅ ∈ A, which conclusion is always correct?
Answer and explanation
Correct answer: A is non-empty
The statement ∅ ∈ A says that the empty set itself is an element of A. Therefore, A contains at least one element, namely ∅, and so A is non-empty. It does not mean that A equals the empty set; in fact, the empty set has no elements. Also, every set has at least the empty subset, so the remaining statements are not valid.
Frequently asked questions
What is the correct answer to this question?
A is non-empty
Why is this the correct answer?
The statement ∅ ∈ A says that the empty set itself is an element of A. Therefore, A contains at least one element, namely ∅, and so A is non-empty. It does not mean that A equals the empty set; in fact, the empty set has no elements. Also, every set has at least the empty subset, so the remaining statements are not valid.
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.
