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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 19

If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {3, 4, 5, 6}, which set is A′ ∩ A?

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Answer and explanation

Correct answer: ∅

With respect to U, the complement of A is A′ = {1, 2, 7, 8}. The set A = {3, 4, 5, 6} and its complement have no common elements. Therefore, their intersection is empty: A′ ∩ A = ∅. This is a standard complement property, A ∩ A′ = ∅, so option A is correct.

Tags

setscomplementintersectiondisjoint setsComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

∅

Why is this the correct answer?

With respect to U, the complement of A is A′ = {1, 2, 7, 8}. The set A = {3, 4, 5, 6} and its complement have no common elements. Therefore, their intersection is empty: A′ ∩ A = ∅. This is a standard complement property, A ∩ A′ = ∅, so option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.

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