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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 10

With respect to the universal set U, in which case is the complement A′ equal to U?

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Answer and explanation

Correct answer: A = ∅

The complement A′ contains every element of the universal set U that is not present in A. If A is the empty set, it contains no elements to remove from U, so all elements of U remain in the complement. Therefore, ∅′ = U. If A = U, the complement would instead be ∅, not U.

Tags

setscomplementuniversal_setComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = ∅

Why is this the correct answer?

The complement A′ contains every element of the universal set U that is not present in A. If A is the empty set, it contains no elements to remove from U, so all elements of U remain in the complement. Therefore, ∅′ = U. If A = U, the complement would instead be ∅, not U.

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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