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Subjects
Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 10

If A = ∅ and B = {0}, which statement is correct?

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Answer and explanation

Correct answer: A ⊂ B

The empty set ∅ has no elements, and it is a subset of every set. Since B = {0} is nonempty, A and B are not equal; therefore, A is a proper subset of B. The statement 0 ∈ A is false because A has no elements, and B cannot be a subset of the empty set because B contains 0. Hence option B is correct.

Tags

empty setproper subsetsubset relationsetsEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A ⊂ B

Why is this the correct answer?

The empty set ∅ has no elements, and it is a subset of every set. Since B = {0} is nonempty, A and B are not equal; therefore, A is a proper subset of B. The statement 0 ∈ A is false because A has no elements, and B cannot be a subset of the empty set because B contains 0. Hence option B is correct.

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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