If A = {1, {1}, {1, 2}}, which of the following is a subset of A?
Answer and explanation
Correct answer: {1, {1, 2}}
The elements of A are three distinct objects: 1, the set {1}, and the set {1, 2}. To be a subset, every element of a proposed set must be one of these three objects. In option A, both 1 and {1, 2} are elements of A, so it is a subset. In the other options, 2 or {2} is not an element of A. Therefore, A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, {1, 2}}
Why is this the correct answer?
The elements of A are three distinct objects: 1, the set {1}, and the set {1, 2}. To be a subset, every element of a proposed set must be one of these three objects. In option A, both 1 and {1, 2} are elements of A, so it is a subset. In the other options, 2 or {2} is not an element of A. Therefore, 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.
