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Class 10MathematicsSetsComplement of a Set and Its PropertiesMediumLevel 20

What is ((A' ∩ B)') equal to?

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Answer and explanation

Correct answer: A ∪ B'

Apply De Morgan’s law to the complement of an intersection: (A' ∩ B)' = (A')' ∪ B'. The complement of A' is A, so the result becomes A ∪ B'. Thus, option A is correct. The important rule is that complementation changes an intersection into a union and complements each individual set.

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setscomplementDe Morgan lawset identitiesComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A ∪ B'

Why is this the correct answer?

Apply De Morgan’s law to the complement of an intersection: (A' ∩ B)' = (A')' ∪ B'. The complement of A' is A, so the result becomes A ∪ B'. Thus, option A is correct. The important rule is that complementation changes an intersection into a union and complements each individual set.

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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