Which region does A − (B ∩ C) represent in a Venn diagram?
Answer and explanation
Correct answer: The part of A that is not in B ∩ C
Set difference X − Y means the elements that belong to X but do not belong to Y. Here X is A and Y is B ∩ C, the region common to B and C. Thus shade all of A, then exclude the portion of A lying in both B and C. The remaining region is the part of A outside B ∩ C. The triple intersection is removed, not selected.
Frequently asked questions
What is the correct answer to this question?
The part of A that is not in B ∩ C
Why is this the correct answer?
Set difference X − Y means the elements that belong to X but do not belong to Y. Here X is A and Y is B ∩ C, the region common to B and C. Thus shade all of A, then exclude the portion of A lying in both B and C. The remaining region is the part of A outside B ∩ C. The triple intersection is removed, not selected.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
