Which part does A△B show in a Venn diagram?
Answer and explanation
Correct answer: The combined parts A−B and B−A
The symmetric difference A△B contains elements that belong to exactly one of the two sets. Its standard expression is (A−B)∪(B−A). Thus the two non-overlapping outer regions of the circles are included, while the common intersection A∩B is excluded. Therefore, option C correctly describes the shaded part of the Venn diagram.
Frequently asked questions
What is the correct answer to this question?
The combined parts A−B and B−A
Why is this the correct answer?
The symmetric difference A△B contains elements that belong to exactly one of the two sets. Its standard expression is (A−B)∪(B−A). Thus the two non-overlapping outer regions of the circles are included, while the common intersection A∩B is excluded. Therefore, option C correctly describes the shaded part of the Venn diagram.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
