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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 17

If A = {4, 8, 12}, what is A ∩ ∅?

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Answer and explanation

Correct answer: ∅

The intersection A ∩ ∅ contains elements that must belong to both A and the empty set. However, the empty set has no elements, so there cannot be any element common to A and ∅. Therefore A ∩ ∅ = ∅, regardless of which elements are present in A. This is the zero property of the empty set for intersection.

Tags

setsintersectionempty setoperations on setsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

∅

Why is this the correct answer?

The intersection A ∩ ∅ contains elements that must belong to both A and the empty set. However, the empty set has no elements, so there cannot be any element common to A and ∅. Therefore A ∩ ∅ = ∅, regardless of which elements are present in A. This is the zero property of the empty set for intersection.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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