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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 10

In a Venn diagram, A∪A′ is equal to which set?

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Answer and explanation

Correct answer: U

A′ is the complement of A in the universal set U, so it contains precisely the elements of U that are not in A. Every element of U is therefore either in A or in A′. Their union covers the entire universal set, giving A∪A′=U. The empty set is their intersection, not their union. Thus option C is correct.

Tags

setsvenn-diagramscomplement-lawunionComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

U

Why is this the correct answer?

A′ is the complement of A in the universal set U, so it contains precisely the elements of U that are not in A. Every element of U is therefore either in A or in A′. Their union covers the entire universal set, giving A∪A′=U. The empty set is their intersection, not their union. Thus option C 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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