In a Venn diagram, which region does A∩B′ represent?
Answer and explanation
Correct answer: Only A: in A and not in B
The notation A∩B′ means an element must be in A and also in the complement of B. Being in B′ means not being in B, so the expression describes the A-only region. Thus option A is correct and is equivalent to A−B. The common region fails because it lies inside B, while the B-only and outside regions are not in A.
Frequently asked questions
What is the correct answer to this question?
Only A: in A and not in B
Why is this the correct answer?
The notation A∩B′ means an element must be in A and also in the complement of B. Being in B′ means not being in B, so the expression describes the A-only region. Thus option A is correct and is equivalent to A−B. The common region fails because it lies inside B, while the B-only and outside regions are not in A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.