If A = {∅, 1}, which statement is true?
Answer and explanation
Correct answer: ∅ ∈ A
The notation A = {∅, 1} means that A has exactly two elements: the empty set ∅ and the number 1. Therefore ∅ ∈ A is true. The set {1} is not an element of A, even though 1 itself is an element of A, so option B is false. No element belongs to ∅, making C false. Finally, {∅,1} equals A, so it is not a proper subset of A. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
∅ ∈ A
Why is this the correct answer?
The notation A = {∅, 1} means that A has exactly two elements: the empty set ∅ and the number 1. Therefore ∅ ∈ A is true. The set {1} is not an element of A, even though 1 itself is an element of A, so option B is false. No element belongs to ∅, making C false. Finally, {∅,1} equals A, so it is not a proper subset of A. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
