If A = {a, b, c} and B = {c, d, e}, what is (A ∪ B) − B?
Answer and explanation
Correct answer: {a, b}
The union of the two sets is A ∪ B = {a, b, c, d, e}. Subtracting B means removing c, d, and e from this union. The elements left are a and b, so the answer is {a, b}. Equivalently, the identity (A ∪ B) − B = A − B can be used. Option B gives only the common element, while option D ignores the subtraction operation.
Frequently asked questions
What is the correct answer to this question?
{a, b}
Why is this the correct answer?
The union of the two sets is A ∪ B = {a, b, c, d, e}. Subtracting B means removing c, d, and e from this union. The elements left are a and b, so the answer is {a, b}. Equivalently, the identity (A ∪ B) − B = A − B can be used. Option B gives only the common element, while option D ignores the subtraction operation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
