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Subjects
Class 10MathematicsSetsEqual sets and SubsetsMediumLevel 8

If A = {1, 2, {3}}, which of the following is a subset of A?

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Answer and explanation

Correct answer: {1, {3}}

A = {1, 2, {3}}. A subset may contain only objects that are elements of A. Both 1 and {3} belong to A, so {1, {3}} is a subset. However, 3 itself is not an element of A; only the set {3} is. Therefore the other options contain an object that is not in A or have an incorrect nested structure.

Tags

setssubsetsnested-setEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, {3}}

Why is this the correct answer?

A = {1, 2, {3}}. A subset may contain only objects that are elements of A. Both 1 and {3} belong to A, so {1, {3}} is a subset. However, 3 itself is not an element of A; only the set {3} is. Therefore the other options contain an object that is not in A or have an incorrect nested structure.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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