Which region does A' ∩ B' represent in a Venn diagram?
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Answer and explanation
Correct answer: Neither A nor B
A' represents the complement of A, meaning all elements outside A. Similarly, B' contains all elements outside B. Their intersection A' ∩ B' therefore consists of elements outside both circles. By De Morgan’s law, A' ∩ B' = (A ∪ B)'. Thus, the region is neither A nor B, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
Neither A nor B
Why is this the correct answer?
A' represents the complement of A, meaning all elements outside A. Similarly, B' contains all elements outside B. Their intersection A' ∩ B' therefore consists of elements outside both circles. By De Morgan’s law, A' ∩ B' = (A ∪ B)'. Thus, the region is neither A nor B, so option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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