If U={a,b,c,d,e,g}, A={a,c,e}, and B={b,c,g}, what is (A∪B)'?
Answer and explanation
Correct answer: {d}
The complement is taken relative to the stated universal set U. First, A ∪ B = {a,b,c,e,g}, containing every element in at least one of the two sets. Removing these union elements from U={a,b,c,d,e,g} leaves only d. Therefore (A ∪ B)′ = {d}, so option A is correct. Option B is the union itself, while {c} is the intersection.
Frequently asked questions
What is the correct answer to this question?
{d}
Why is this the correct answer?
The complement is taken relative to the stated universal set U. First, A ∪ B = {a,b,c,e,g}, containing every element in at least one of the two sets. Removing these union elements from U={a,b,c,d,e,g} leaves only d. Therefore (A ∪ B)′ = {d}, so option A is correct. Option B is the union itself, while {c} is the intersection.
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.
