If U = {1, 2, …, 12} and A = {1, 4, 7, 10}, what is A' ∩ {2, 4, 6, 8, 10, 12}?
Advertisement
Answer and explanation
Correct answer: {2, 6, 8, 12}
The complement A' with respect to U contains every element of U except 1, 4, 7, and 10. The second set is {2, 4, 6, 8, 10, 12}. Removing the elements 4 and 10, which are not in A', leaves 2, 6, 8, and 12. Hence A' ∩ {2, 4, 6, 8, 10, 12} = {2, 6, 8, 12}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
{2, 6, 8, 12}
Why is this the correct answer?
The complement A' with respect to U contains every element of U except 1, 4, 7, and 10. The second set is {2, 4, 6, 8, 10, 12}. Removing the elements 4 and 10, which are not in A', leaves 2, 6, 8, and 12. Hence A' ∩ {2, 4, 6, 8, 10, 12} = {2, 6, 8, 12}, so option A is correct.
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