What region does A △ B represent in a Venn diagram?
Answer and explanation
Correct answer: The combined regions A−B and B−A
The symmetric difference A △ B consists of elements that belong to exactly one of the two sets. Algebraically, A △ B=(A−B)∪(B−A). Thus it includes the non-overlapping part of A together with the non-overlapping part of B, but excludes A ∩ B because common elements belong to both sets rather than exactly one.
Frequently asked questions
What is the correct answer to this question?
The combined regions A−B and B−A
Why is this the correct answer?
The symmetric difference A △ B consists of elements that belong to exactly one of the two sets. Algebraically, A △ B=(A−B)∪(B−A). Thus it includes the non-overlapping part of A together with the non-overlapping part of B, but excludes A ∩ B because common elements belong to both sets rather than exactly one.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
