For the set A = {∅, {1}, 2}, which statement is correct?
Answer and explanation
Correct answer: ∅ ∈ A
The elements listed directly in A are ∅, {1}, and 2. Therefore, the empty set ∅ is an element of A, so ∅ ∈ A is true. The number 1 is not directly listed; {1} is listed instead. Similarly, {2} is not listed because 2, not the set {2}, is an element. The number 3 is also absent. This question tests the important difference between an element and a set containing an element.
Frequently asked questions
What is the correct answer to this question?
∅ ∈ A
Why is this the correct answer?
The elements listed directly in A are ∅, {1}, and 2. Therefore, the empty set ∅ is an element of A, so ∅ ∈ A is true. The number 1 is not directly listed; {1} is listed instead. Similarly, {2} is not listed because 2, not the set {2}, is an element. The number 3 is also absent. This question tests the important difference between an element and a set containing an element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
