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Subjects
Class 10MathematicsSetsPower Set and SubsetsHardLevel 9

If (A={1,{2,3},4}), which of the following is a member of (\mathcal{P}(A))?

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Answer and explanation

Correct answer: {{2,3}}

The elements of A are 1, the set {2,3}, and 4. A member of the power set must itself be a subset of A, meaning every one of its elements must be one of these three objects. The set {{2,3}} contains the single element {2,3}, which belongs to A, so it is a subset of A. Thus option B is correct.

Tags

setsnested-setsmembershippower-setPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{{2,3}}

Why is this the correct answer?

The elements of A are 1, the set {2,3}, and 4. A member of the power set must itself be a subset of A, meaning every one of its elements must be one of these three objects. The set {{2,3}} contains the single element {2,3}, which belongs to A, so it is a subset of A. Thus 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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