If A = {1, 2, {3}}, which of the following is not an element of 𝒫(A)?
Answer and explanation
Correct answer: {1, 3}
The elements of A are 1, 2, and the set {3}. In particular, 3 itself is not an element of A; only {3} is. A member of 𝒫(A) must be a subset whose every element belongs to A. Options A, B, and C satisfy this condition. Option D contains 3 as an element, so it is not a subset of A and therefore is not an element of 𝒫(A).
Frequently asked questions
What is the correct answer to this question?
{1, 3}
Why is this the correct answer?
The elements of A are 1, 2, and the set {3}. In particular, 3 itself is not an element of A; only {3} is. A member of 𝒫(A) must be a subset whose every element belongs to A. Options A, B, and C satisfy this condition. Option D contains 3 as an element, so it is not a subset of A and therefore is not an element of 𝒫(A).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
