If U = {a, b, c, d, e, f, h}, A = {a, c, e}, and B = {c, d, f}, what is (A ∪ B)′?
Answer and explanation
Correct answer: {b, h}
First form the union: A ∪ B = {a, c, d, e, f}. The complement of this union is found relative to the universal set U, so we select the elements of U that are not in the union. Those elements are b and h. Therefore, (A ∪ B)′ = {b, h}. The complement must always be taken with respect to the stated universal set.
Frequently asked questions
What is the correct answer to this question?
{b, h}
Why is this the correct answer?
First form the union: A ∪ B = {a, c, d, e, f}. The complement of this union is found relative to the universal set U, so we select the elements of U that are not in the union. Those elements are b and h. Therefore, (A ∪ B)′ = {b, h}. The complement must always be taken with respect to the stated universal set.
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.
