In a Venn diagram, what is A' ∪ B' equal to?
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Answer and explanation
Correct answer: (A ∩ B)'
De Morgan’s law states that the union of the complements of two sets equals the complement of their intersection: A' ∪ B' = (A ∩ B)'. An element belongs to the left side if it is outside A or outside B, which means it cannot be simultaneously inside both A and B. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
(A ∩ B)'
Why is this the correct answer?
De Morgan’s law states that the union of the complements of two sets equals the complement of their intersection: A' ∪ B' = (A ∩ B)'. An element belongs to the left side if it is outside A or outside B, which means it cannot be simultaneously inside both A and B. Therefore, 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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