Which region does ((A ∪ B)' ∩ C) represent in a Venn diagram?
Answer and explanation
Correct answer: The part of C outside both A and B
By De Morgan’s law, (A ∪ B)' means the region outside both A and B. Intersecting this region with C restricts the answer to points that are inside C but outside A and also outside B. Therefore the represented region is C − (A ∪ B), or C ∩ A' ∩ B'. Hence option A is the only correct description.
Frequently asked questions
What is the correct answer to this question?
The part of C outside both A and B
Why is this the correct answer?
By De Morgan’s law, (A ∪ B)' means the region outside both A and B. Intersecting this region with C restricts the answer to points that are inside C but outside A and also outside B. Therefore the represented region is C − (A ∪ B), or C ∩ A' ∩ B'. Hence option A is the only correct description.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
