If A = {p, q, r}, which of the following is an element of 𝒫(A)?
Answer and explanation
Correct answer: {p, q}
An element of the power set 𝒫(A) must be a subset of A. The set A contains only p, q, and r. The object {p, q} contains only elements of A, so it is a subset and therefore belongs to 𝒫(A). Option A is the element p rather than the subset {p}; options C and D contain s, which is not an element of A, so they are not subsets of A.
Frequently asked questions
What is the correct answer to this question?
{p, q}
Why is this the correct answer?
An element of the power set 𝒫(A) must be a subset of A. The set A contains only p, q, and r. The object {p, q} contains only elements of A, so it is a subset and therefore belongs to 𝒫(A). Option A is the element p rather than the subset {p}; options C and D contain s, which is not an element of A, so they are not subsets of A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
