If A = {p, q, r}, what is the relation of {p, q} and {p, q, r} with P(A)?
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Answer and explanation
Correct answer: Both are elements
The power set P(A) is the set of all subsets of A. The set {p,q} is a subset of A because both of its elements belong to A. The set {p,q,r} is A itself, and every set is a subset of itself. Therefore both {p,q} and {p,q,r} belong to P(A), so both are elements of the power set. Option A is correct.
Frequently asked questions
What is the correct answer to this question?
Both are elements
Why is this the correct answer?
The power set P(A) is the set of all subsets of A. The set {p,q} is a subset of A because both of its elements belong to A. The set {p,q,r} is A itself, and every set is a subset of itself. Therefore both {p,q} and {p,q,r} belong to P(A), so both are elements of the power set. 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.
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