If U = {1,2,3,4,5,6,7,8,9,10}, A = {2,4,6,8} and B = {1,2,3,4}, what is (A ∩ B)′?
Answer and explanation
Correct answer: {1,3,5,6,7,8,9,10}
First find the intersection, because the complement is applied to the entire expression. The elements common to A and B are 2 and 4, so A ∩ B = {2,4}. The complement is taken relative to U; therefore remove 2 and 4 from U. The remaining elements are {1,3,5,6,7,8,9,10}. Option B is only the intersection, C is B′, and D is A ∪ B.
Frequently asked questions
What is the correct answer to this question?
{1,3,5,6,7,8,9,10}
Why is this the correct answer?
First find the intersection, because the complement is applied to the entire expression. The elements common to A and B are 2 and 4, so A ∩ B = {2,4}. The complement is taken relative to U; therefore remove 2 and 4 from U. The remaining elements are {1,3,5,6,7,8,9,10}. Option B is only the intersection, C is B′, and D is A ∪ B.
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.
