If A and B are overlapping sets, which region is shaded for A ∪ B in a Venn diagram?
Answer and explanation
Correct answer: The entire inside of both A and B circles
The union A ∪ B consists of every element that is in A, in B, or in both sets. In a Venn diagram, this means shading the complete interior of the A circle and the complete interior of the B circle, including their overlapping lens-shaped region. The outside region is excluded, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
The entire inside of both A and B circles
Why is this the correct answer?
The union A ∪ B consists of every element that is in A, in B, or in both sets. In a Venn diagram, this means shading the complete interior of the A circle and the complete interior of the B circle, including their overlapping lens-shaped region. The outside region is excluded, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.