According to De Morgan's law, what is (A ∩ B)' equal to?
Answer and explanation
Correct answer: A' ∪ B'
De Morgan’s first law states that the complement of an intersection is the union of the complements: (A ∩ B)' = A' ∪ B'. An element is outside A ∩ B if it is absent from at least one of A or B. Therefore, the regions outside the common overlap are included. Option B represents the complement of a union, not of an intersection.
Frequently asked questions
What is the correct answer to this question?
A' ∪ B'
Why is this the correct answer?
De Morgan’s first law states that the complement of an intersection is the union of the complements: (A ∩ B)' = A' ∪ B'. An element is outside A ∩ B if it is absent from at least one of A or B. Therefore, the regions outside the common overlap are included. Option B represents the complement of a union, not of an intersection.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
