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Subjects
Class 10MathematicsSetsEqual sets and SubsetsMediumLevel 8

If A = {1, 2}, which statement is false?

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Answer and explanation

Correct answer: {1, 2} ∈ A

The set A contains the two numbers 1 and 2 as its elements. Therefore 1 ∈ A is true, and both {1} ⊆ A and {1, 2} ⊆ A are true because every member of each set belongs to A. However, {1, 2} is the whole set A, not an element listed inside A. Hence {1, 2} ∈ A is false.

Tags

setselement-vs-subsetcommon-errorsEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2} ∈ A

Why is this the correct answer?

The set A contains the two numbers 1 and 2 as its elements. Therefore 1 ∈ A is true, and both {1} ⊆ A and {1, 2} ⊆ A are true because every member of each set belongs to A. However, {1, 2} is the whole set A, not an element listed inside A. Hence {1, 2} ∈ A is false.

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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