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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 9

If A = {1, 2, 3}, which of the following is not an element of 𝒫(A)?

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Answer and explanation

Correct answer: {1, 4}

An element of the power set 𝒫(A) must be a subset of A, meaning every element of that set must belong to A. The sets {1}, {2, 3}, and ∅ are all subsets of A. However, {1, 4} is not a subset because 4 is not an element of A. Therefore, {1, 4} is not an element of 𝒫(A).

Tags

setspower_setsubsetsnot_subsetPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 4}

Why is this the correct answer?

An element of the power set 𝒫(A) must be a subset of A, meaning every element of that set must belong to A. The sets {1}, {2, 3}, and ∅ are all subsets of A. However, {1, 4} is not a subset because 4 is not an element of A. Therefore, {1, 4} is not an element of 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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