If A and B partially overlap, how are A − B, A ∩ B, and B − A represented in the Venn diagram?
Answer and explanation
Correct answer: Three separate pairwise-disjoint regions — तीन अलग-अलग परस्पर असंबद्ध क्षेत्र
When two sets partially overlap, the diagram is divided into three relevant parts: the portion belonging only to A, the common overlapping portion, and the portion belonging only to B. These are A − B, A ∩ B, and B − A respectively. No element can belong to two of these regions at the same time, so they are pairwise disjoint.
Frequently asked questions
What is the correct answer to this question?
Three separate pairwise-disjoint regions — तीन अलग-अलग परस्पर असंबद्ध क्षेत्र
Why is this the correct answer?
When two sets partially overlap, the diagram is divided into three relevant parts: the portion belonging only to A, the common overlapping portion, and the portion belonging only to B. These are A − B, A ∩ B, and B − A respectively. No element can belong to two of these regions at the same time, so they are pairwise disjoint.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.