In a Venn diagram of three sets, which region represents A ∩ B ∩ C?
Answer and explanation
Correct answer: The common region shared by all three sets
The notation A ∩ B ∩ C means the intersection of all three sets. Therefore, an element belongs to this region only if it is simultaneously in A, in B, and in C. In a three-set Venn diagram, this is the central region where all three circles overlap. It is not a region belonging to just one set or a region outside the sets.
Frequently asked questions
What is the correct answer to this question?
The common region shared by all three sets
Why is this the correct answer?
The notation A ∩ B ∩ C means the intersection of all three sets. Therefore, an element belongs to this region only if it is simultaneously in A, in B, and in C. In a three-set Venn diagram, this is the central region where all three circles overlap. It is not a region belonging to just one set or a region outside the sets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
