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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 10

If U = {a, b, c, d} and A = {a, c}, what is A′?

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Answer and explanation

Correct answer: {b, d}

The complement A′ is defined relative to the universal set U. It contains every element of U that is not an element of A, so A′ = U \ A. Starting with U = {a, b, c, d} and removing a and c, which belong to A, leaves b and d. Hence A′ = {b, d}, making option B the only correct answer.

Tags

setscomplementuniversal setset differenceComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{b, d}

Why is this the correct answer?

The complement A′ is defined relative to the universal set U. It contains every element of U that is not an element of A, so A′ = U \ A. Starting with U = {a, b, c, d} and removing a and c, which belong to A, leaves b and d. Hence A′ = {b, d}, making option B the only correct answer.

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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