If A and B are two overlapping circles in a Venn diagram, what is A − (A ∩ B) equal to?
Answer and explanation
Correct answer: A \ B
The intersection A ∩ B is the region shared by both sets. Removing this common region from A leaves only those elements that belong to A but do not belong to B. By the definition of set difference, this remaining region is A \ B. In a two-circle Venn diagram, it is the part of circle A outside the overlap. Therefore, option A is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
A \ B
Why is this the correct answer?
The intersection A ∩ B is the region shared by both sets. Removing this common region from A leaves only those elements that belong to A but do not belong to B. By the definition of set difference, this remaining region is A \ B. In a two-circle Venn diagram, it is the part of circle A outside the overlap. Therefore, option A is the only correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
