If U = {1, 2, ..., 9}, A = {2, 4, 6, 8}, and B = {1, 2, 3, 4}, what is A′ ∩ B?
Advertisement
Answer and explanation
Correct answer: {1, 3}
The complement A′ is taken with respect to the universal set U. Removing the elements of A from U gives A′ = {1, 3, 5, 7, 9}. We then find the intersection of A′ with B = {1, 2, 3, 4}. The elements common to both sets are 1 and 3, so A′ ∩ B = {1, 3}. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 3}
Why is this the correct answer?
The complement A′ is taken with respect to the universal set U. Removing the elements of A from U gives A′ = {1, 3, 5, 7, 9}. We then find the intersection of A′ with B = {1, 2, 3, 4}. The elements common to both sets are 1 and 3, so A′ ∩ B = {1, 3}. Therefore, option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
Advertisement