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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 21

If U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 5}, and B = {2, 4, 6}, what is the complement of A ∪ B?

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Answer and explanation

Correct answer: {3, 7}

First form the union by including every element that occurs in A or B: A ∪ B = {1, 2, 4, 5, 6}. The complement of this union contains the elements of U that are absent from it. From U = {1, 2, 3, 4, 5, 6, 7}, only 3 and 7 remain. Thus (A ∪ B)ᶜ = {3, 7}, so option A is correct.

Tags

setscomplementunionuniversal setMathematicsComplement of a Set and Its PropertiesClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{3, 7}

Why is this the correct answer?

First form the union by including every element that occurs in A or B: A ∪ B = {1, 2, 4, 5, 6}. The complement of this union contains the elements of U that are absent from it. From U = {1, 2, 3, 4, 5, 6, 7}, only 3 and 7 remain. Thus (A ∪ B)ᶜ = {3, 7}, so option A is 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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