If A = {1, 2, {1, 2}}, which of the following is correct?
Answer and explanation
Correct answer: Both {1, 2} ⊂ A and {1, 2} ∈ A are true.
The set A has three elements: the number 1, the number 2, and the set {1, 2}. Therefore {1, 2} ∈ A is true because that whole set appears as one element of A. Also, both 1 and 2 belong to A, so every element of {1, 2} is in A; hence {1, 2} ⊂ A is true as well. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
Both {1, 2} ⊂ A and {1, 2} ∈ A are true.
Why is this the correct answer?
The set A has three elements: the number 1, the number 2, and the set {1, 2}. Therefore {1, 2} ∈ A is true because that whole set appears as one element of A. Also, both 1 and 2 belong to A, so every element of {1, 2} is in A; hence {1, 2} ⊂ A is true as well. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
