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Subjects
Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 19

If U={1,2,3,4,5,6,7,8} and A={1,2,3}, which of the following is not the complement of A?

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Answer and explanation

Correct answer: {4,5,6,7}

The complement of A relative to U contains every element of U that is not in A. Removing 1, 2, and 3 from U gives Aᶜ={4,5,6,7,8}. This is also exactly U\A and the set described by {x∈U | x∉A}. Option A, {4,5,6,7}, omits 8, which belongs to U and is not in A; therefore it is not the complement.

Tags

setscomplementset differenceuniversal setelement checkingComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{4,5,6,7}

Why is this the correct answer?

The complement of A relative to U contains every element of U that is not in A. Removing 1, 2, and 3 from U gives Aᶜ={4,5,6,7,8}. This is also exactly U\A and the set described by {x∈U | x∉A}. Option A, {4,5,6,7}, omits 8, which belongs to U and is not in A; therefore it is not the complement.

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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