If A ∩ B = ∅, what is (A ∪ B) \ A?
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Answer and explanation
Correct answer: B
The union A ∪ B contains every element of A together with every element of B. Removing A removes all elements contributed by A. Since A and B are disjoint, no element of B is removed while subtracting A. The elements left are exactly those of B, so (A ∪ B) \ A = B. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
B
Why is this the correct answer?
The union A ∪ B contains every element of A together with every element of B. Removing A removes all elements contributed by A. Since A and B are disjoint, no element of B is removed while subtracting A. The elements left are exactly those of B, so (A ∪ B) \ A = B. Therefore, option A 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).
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