If A = {1, 2}, which of 1 and {1} is an element of P(A)?
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Answer and explanation
Correct answer: Only {1}
The power set P(A) contains subsets of A, not necessarily the individual elements of A. The number 1 is an element of A, but it is not a subset of A because it is not a set in this context. The set {1} is a subset of A, since its only element, 1, belongs to A. Therefore {1} belongs to P(A), and option B is correct.
Frequently asked questions
What is the correct answer to this question?
Only {1}
Why is this the correct answer?
The power set P(A) contains subsets of A, not necessarily the individual elements of A. The number 1 is an element of A, but it is not a subset of A because it is not a set in this context. The set {1} is a subset of A, since its only element, 1, belongs to A. Therefore {1} belongs to P(A), and option B 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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