If A = {p, q, r}, what is the relation of {p, q} to P(A)?
Answer and explanation
Correct answer: {p, q} ∈ P(A)
The set {p, q} is a subset of A = {p, q, r}, because both p and q belong to A. The power set P(A) contains subsets of A as its elements. Consequently, {p, q} is an element of P(A), written {p, q} ∈ P(A). It is not equal to A because r is missing, and it is not an element of A because the elements of A are p, q, and r individually. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{p, q} ∈ P(A)
Why is this the correct answer?
The set {p, q} is a subset of A = {p, q, r}, because both p and q belong to A. The power set P(A) contains subsets of A as its elements. Consequently, {p, q} is an element of P(A), written {p, q} ∈ P(A). It is not equal to A because r is missing, and it is not an element of A because the elements of A are p, q, and r individually. Therefore, 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.
