Which region does A ∪ B represent in a Venn diagram?
Answer and explanation
Correct answer: A or B or both
The union A ∪ B consists of every element that belongs to A, to B, or to both sets. On a Venn diagram, this means shading the complete area of both circles, including their overlapping region. “Only A” excludes the overlap, and “only B” also excludes it. The region outside the universal set is not part of the diagram’s considered universe. Therefore A ∪ B represents A or B or both, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
A or B or both
Why is this the correct answer?
The union A ∪ B consists of every element that belongs to A, to B, or to both sets. On a Venn diagram, this means shading the complete area of both circles, including their overlapping region. “Only A” excludes the overlap, and “only B” also excludes it. The region outside the universal set is not part of the diagram’s considered universe. Therefore A ∪ B represents A or B or both, so option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
