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Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 8

If A = {1, 2, 3}, which of the following statements is false?

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Answer and explanation

Correct answer: {4} ⊆ A / {4} is a subset of A

For a set to be a subset of A, every one of its elements must belong to A. Both 1 and 2 belong to A, so option A is true, and 3 belongs to A, so option B is true. The empty set is a subset of every set, making option D true. Since 4 is not in A = {1, 2, 3}, the statement {4} ⊆ A is false.

Tags

setssubsetsempty-setelement-membershipMathematicsEqual sets and SubsetsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{4} ⊆ A / {4} is a subset of A

Why is this the correct answer?

For a set to be a subset of A, every one of its elements must belong to A. Both 1 and 2 belong to A, so option A is true, and 3 belongs to A, so option B is true. The empty set is a subset of every set, making option D true. Since 4 is not in A = {1, 2, 3}, the statement {4} ⊆ 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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