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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 21

If U = {x ∈ ℤ | -3 ≤ x ≤ 4} and A = {-2,0,2,4}, what is Aᶜ?

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Answer and explanation

Correct answer: {-3,-1,1,3}

First list the integers in the universal set: U = {-3,-2,-1,0,1,2,3,4}. The complement Aᶜ consists of elements of U that are absent from A. Removing -2, 0, 2, and 4 leaves {-3,-1,1,3}. Therefore option A is correct. The universal set is essential because a complement is always defined relative to it.

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setscomplementintegersuniversal setComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{-3,-1,1,3}

Why is this the correct answer?

First list the integers in the universal set: U = {-3,-2,-1,0,1,2,3,4}. The complement Aᶜ consists of elements of U that are absent from A. Removing -2, 0, 2, and 4 leaves {-3,-1,1,3}. Therefore option A is correct. The universal set is essential because a complement is always defined relative to it.

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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