If A = {1, {1}, 2}, which statement is correct?
Answer and explanation
Correct answer: 1 ∈ A
The set A contains three elements: the number 1, the set {1}, and the number 2. Therefore, 1 is directly an element of A, so 1 ∈ A is true. The expression 1 ⊆ A is not the appropriate subset statement because 1 is a number, not a set. Also, {2} and {1,2} are not listed as elements of A; the presence of 2 does not mean that {2} is an element.
Frequently asked questions
What is the correct answer to this question?
1 ∈ A
Why is this the correct answer?
The set A contains three elements: the number 1, the set {1}, and the number 2. Therefore, 1 is directly an element of A, so 1 ∈ A is true. The expression 1 ⊆ A is not the appropriate subset statement because 1 is a number, not a set. Also, {2} and {1,2} are not listed as elements of A; the presence of 2 does not mean that {2} is an element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
