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Class 10MathematicsSetsComplement of a Set and Its PropertiesMediumLevel 21

If the universal set U = {a, b, c, d, e, f, g, i}, A = {a, c, f}, and B = {b, c, e, i}, what is the value of (A ∪ B)'?

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Answer and explanation

Correct answer: {d, g}

First form the union: A ∪ B = {a, b, c, e, f, i}. The complement is taken with respect to the universal set U, so we select the elements of U that do not occur in this union. The remaining elements are d and g; therefore, (A ∪ B)' = {d, g}. Option D is wrong because f belongs to A and hence to the union.

Tags

setsunioncomplementDe Morgan lawfinite setsComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{d, g}

Why is this the correct answer?

First form the union: A ∪ B = {a, b, c, e, f, i}. The complement is taken with respect to the universal set U, so we select the elements of U that do not occur in this union. The remaining elements are d and g; therefore, (A ∪ B)' = {d, g}. Option D is wrong because f belongs to A and hence to the union.

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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