If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 3, 5, 7, 9}, and B = {2, 3, 5, 8}, what is (A ∩ B)′?
Advertisement
Answer and explanation
Correct answer: {1, 2, 4, 6, 7, 8, 9}
The intersection A ∩ B consists of elements common to both sets. Comparing A = {1, 3, 5, 7, 9} with B = {2, 3, 5, 8}, the common elements are 3 and 5. Thus A ∩ B = {3, 5}. Removing these from U = {1, 2, 3, 4, 5, 6, 7, 8, 9} gives (A ∩ B)′ = {1, 2, 4, 6, 7, 8, 9}.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 4, 6, 7, 8, 9}
Why is this the correct answer?
The intersection A ∩ B consists of elements common to both sets. Comparing A = {1, 3, 5, 7, 9} with B = {2, 3, 5, 8}, the common elements are 3 and 5. Thus A ∩ B = {3, 5}. Removing these from U = {1, 2, 3, 4, 5, 6, 7, 8, 9} gives (A ∩ B)′ = {1, 2, 4, 6, 7, 8, 9}.
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.
Advertisement