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Subjects
Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 9

If U = {1, 2, 3, 4} and A′ = {1, 4}, what is A?

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Answer and explanation

Correct answer: {2, 3}

The complement A′ and the set A together divide the universal set U into two non-overlapping parts. Therefore, A is obtained by removing the elements of A′ from U: A = U − A′ = {1, 2, 3, 4} − {1, 4} = {2, 3}. Option A gives A′ itself, not A. The answer follows from the complement relationship A ∪ A′ = U.

Tags

setscomplementset_operationsuniversal_setComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{2, 3}

Why is this the correct answer?

The complement A′ and the set A together divide the universal set U into two non-overlapping parts. Therefore, A is obtained by removing the elements of A′ from U: A = U − A′ = {1, 2, 3, 4} − {1, 4} = {2, 3}. Option A gives A′ itself, not A. The answer follows from the complement relationship A ∪ A′ = 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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