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Subjects
Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 7

For any set A, which statement about the empty set is correct?

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Answer and explanation

Correct answer: ∅ ⊆ A

The empty set ∅ contains no elements. To check whether ∅ is a subset of A, we ask whether every element of ∅ belongs to A. Since there is no element in ∅ that could violate this requirement, the statement is vacuously true for every set A. Therefore ∅ ⊆ A always holds. This does not mean that ∅ is an element of A.

Tags

setsempty setsubsetsset notationEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

∅ ⊆ A

Why is this the correct answer?

The empty set ∅ contains no elements. To check whether ∅ is a subset of A, we ask whether every element of ∅ belongs to A. Since there is no element in ∅ that could violate this requirement, the statement is vacuously true for every set A. Therefore ∅ ⊆ A always holds. This does not mean that ∅ is an element of A.

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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