Which expression is equal to (A ∪ B) − A?
Answer and explanation
Correct answer: B − A
The union A ∪ B contains all elements from A and B. Removing A eliminates every element that belongs to A, including the common elements A ∩ B. What remains are precisely the elements that belong to B but not to A, which is B − A. Therefore, (A ∪ B) − A = B − A, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
B − A
Why is this the correct answer?
The union A ∪ B contains all elements from A and B. Removing A eliminates every element that belongs to A, including the common elements A ∩ B. What remains are precisely the elements that belong to B but not to A, which is B − A. Therefore, (A ∪ B) − A = B − A, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).