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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 7

If A = {x : x ∈ ℕ, 2 < x ≤ 6}, which of the following is a proper subset of A?

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Answer and explanation

Correct answer: {3, 5}

The natural numbers satisfying 2 < x ≤ 6 are 3, 4, 5, and 6, so A = {3, 4, 5, 6}. Option B, {3, 5}, contains only elements of A and is not equal to A; therefore it is a proper subset. Option A is A itself, option C contains 2, which is excluded, and option D contains 7, which is not in A.

Tags

setsproper subsetset-builder notationnatural numbersPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{3, 5}

Why is this the correct answer?

The natural numbers satisfying 2 < x ≤ 6 are 3, 4, 5, and 6, so A = {3, 4, 5, 6}. Option B, {3, 5}, contains only elements of A and is not equal to A; therefore it is a proper subset. Option A is A itself, option C contains 2, which is excluded, and option D contains 7, which is not in 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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