If A = {2, 3, 5}, which one of 2 and {2} is an element of P(A)?
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Answer and explanation
Correct answer: Only {2}
The power set P(A) contains subsets of A, not the individual elements of A unless those elements are themselves sets. The object {2} is a subset of A because its only element, 2, belongs to A, so {2} ∈ P(A). In contrast, 2 is an element of A, not a subset of A, and therefore 2 ∉ P(A).
Frequently asked questions
What is the correct answer to this question?
Only {2}
Why is this the correct answer?
The power set P(A) contains subsets of A, not the individual elements of A unless those elements are themselves sets. The object {2} is a subset of A because its only element, 2, belongs to A, so {2} ∈ P(A). In contrast, 2 is an element of A, not a subset of A, and therefore 2 ∉ P(A).
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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