If A = {m, n, o} and B = {n, o, p, q}, what is (A ∪ B) \ A?
Answer and explanation
Correct answer: {p, q}
First calculate the union: A ∪ B = {m, n, o, p, q}. The difference (A ∪ B) \ A removes every element that belongs to A, namely m, n, and o. The remaining elements are p and q. Equivalently, since A is already included in the union, (A ∪ B) \ A = B \ A. Therefore the answer is {p, q}, which is option A; the other choices retain elements that should be removed.
Frequently asked questions
What is the correct answer to this question?
{p, q}
Why is this the correct answer?
First calculate the union: A ∪ B = {m, n, o, p, q}. The difference (A ∪ B) \ A removes every element that belongs to A, namely m, n, and o. The remaining elements are p and q. Equivalently, since A is already included in the union, (A ∪ B) \ A = B \ A. Therefore the answer is {p, q}, which is option A; the other choices retain elements that should be removed.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
