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Class 10MathematicsSetsPower Set and SubsetsHardLevel 8

If A = {∅, {∅}, 1}, which of the following is a subset of A?

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Answer and explanation

Correct answer: {∅, 1}

The elements of A are the empty set ∅, the singleton set {∅}, and the number 1. A set is a subset of A only when every one of its elements is an element of A. Option A contains ∅ and 1, both of which belong to A. Option B contains 0, option C contains {{∅}}, and option D contains 2; these are not elements of A.

Tags

setsempty_setsubset_testset_membershipPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{∅, 1}

Why is this the correct answer?

The elements of A are the empty set ∅, the singleton set {∅}, and the number 1. A set is a subset of A only when every one of its elements is an element of A. Option A contains ∅ and 1, both of which belong to A. Option B contains 0, option C contains {{∅}}, and option D contains 2; these are not elements of 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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