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If A ∪ Aᶜ is considered, what is its value?

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Answer and explanation

Correct answer: U

Every element of the universal set U either belongs to A or does not belong to A. The elements that do not belong to A are exactly the elements of Aᶜ. Thus, together A and Aᶜ contain every element of U, so A ∪ Aᶜ = U. Therefore, option D is correct.

Tags

setsunioncomplement-propertiesuniversal-setMathematicsComplement of a Set and Its PropertiesClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

U

Why is this the correct answer?

Every element of the universal set U either belongs to A or does not belong to A. The elements that do not belong to A are exactly the elements of Aᶜ. Thus, together A and Aᶜ contain every element of U, so A ∪ Aᶜ = U. Therefore, option D 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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