If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7}, and B = {2, 3, 6, 7}, what is (A ∪ B)'?
Answer and explanation
Correct answer: {4, 8, 9, 10}
First find the union of A and B by listing every element appearing in either set: A ∪ B = {1, 2, 3, 5, 6, 7}. The complement is taken relative to U, so remove these union elements from U. The elements left are {4, 8, 9, 10}. Hence option A is correct. Option B is the union itself, while option C is the intersection, not the complement.
Frequently asked questions
What is the correct answer to this question?
{4, 8, 9, 10}
Why is this the correct answer?
First find the union of A and B by listing every element appearing in either set: A ∪ B = {1, 2, 3, 5, 6, 7}. The complement is taken relative to U, so remove these union elements from U. The elements left are {4, 8, 9, 10}. Hence option A is correct. Option B is the union itself, while option C is the intersection, not the complement.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
