Which of the following sets is a subset of A = {1, {2}, 3}?
Answer and explanation
Correct answer: {{2}, 3}
A subset must contain only elements that are themselves elements of A. The elements of A are the number 1, the set {2}, and the number 3. Option B contains {2} and 3, so every element of that option belongs to A; hence it is a subset. In options A and D, the number 2 appears, but 2 is not an element of A. In option C, the element {1, 2} is not in A. The distinction between 2 and {2} is essential.
Frequently asked questions
What is the correct answer to this question?
{{2}, 3}
Why is this the correct answer?
A subset must contain only elements that are themselves elements of A. The elements of A are the number 1, the set {2}, and the number 3. Option B contains {2} and 3, so every element of that option belongs to A; hence it is a subset. In options A and D, the number 2 appears, but 2 is not an element of A. In option C, the element {1, 2} is not in A. The distinction between 2 and {2} is essential.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
