If A={1,{2},3}, which of the following is a member of P(A)?
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Answer and explanation
Correct answer: {{2}}
The members of A are 1, {2}, and 3. A member of P(A) must be a subset of A, so every element of that member must itself be one of these three objects. The set {{2}} has the single element {2}, which belongs to A; therefore {{2}} is a subset of A and belongs to P(A). Option B is correct.
Frequently asked questions
What is the correct answer to this question?
{{2}}
Why is this the correct answer?
The members of A are 1, {2}, and 3. A member of P(A) must be a subset of A, so every element of that member must itself be one of these three objects. The set {{2}} has the single element {2}, which belongs to A; therefore {{2}} is a subset of A and belongs to P(A). 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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