In a Venn diagram, which region represents A−B?
Answer and explanation
Correct answer: Only the part of A that is not in B
By definition, A−B={x:x∈A and x∉B}. In a two-set Venn diagram, this is the portion of circle A that lies outside circle B, excluding their overlap. Therefore option A is correct. The overlap is A∩B, the B-only region belongs to B−A, and U includes regions unrelated to A−B.
Frequently asked questions
What is the correct answer to this question?
Only the part of A that is not in B
Why is this the correct answer?
By definition, A−B={x:x∈A and x∉B}. In a two-set Venn diagram, this is the portion of circle A that lies outside circle B, excluding their overlap. Therefore option A is correct. The overlap is A∩B, the B-only region belongs to B−A, and U includes regions unrelated to A−B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).