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Class 10MathematicsSetsComplement of a Set and Its PropertiesMediumLevel 9

If U = {a, b, c, d, e, g, h}, A = {a, c, g}, and B = {b, c, h}, what is (A ∪ B)' with respect to U?

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Answer and explanation

Correct answer: {d, e}

First form the union: A ∪ B = {a, c, g} ∪ {b, c, h} = {a, b, c, g, h}. The complement is taken relative to the stated universal set U, so we select the elements of U that are absent from this union. The remaining elements are d and e. Therefore, (A ∪ B)' = {d, e}, making option A correct.

Tags

setsunioncomplementuniversal setComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{d, e}

Why is this the correct answer?

First form the union: A ∪ B = {a, c, g} ∪ {b, c, h} = {a, b, c, g, h}. The complement is taken relative to the stated universal set U, so we select the elements of U that are absent from this union. The remaining elements are d and e. Therefore, (A ∪ B)' = {d, e}, making option A 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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