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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 10

If A = {1, 3, 5}, then {1, 5} is an element of which set?

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Answer and explanation

Correct answer: 𝒫(A)

The set {1, 5} contains only elements that belong to A, so {1, 5} is a subset of A. However, it is not an element of A because the elements of A are the individual numbers 1, 3, and 5. The power set 𝒫(A) contains every subset of A, including {1, 5}. Therefore, the correct answer is B, 𝒫(A).

Tags

setspower setsubsetselement versus subsetPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

𝒫(A)

Why is this the correct answer?

The set {1, 5} contains only elements that belong to A, so {1, 5} is a subset of A. However, it is not an element of A because the elements of A are the individual numbers 1, 3, and 5. The power set 𝒫(A) contains every subset of A, including {1, 5}. Therefore, the correct answer is B, 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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