If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 3, 5, 7}, what is Aᶜ?
Answer and explanation
Correct answer: {1, 4, 6, 8, 9}
The complement Aᶜ contains the elements of U that are not in A. Starting with U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, remove 2, 3, 5, and 7. The remaining elements are 1, 4, 6, 8, and 9, so Aᶜ = {1, 4, 6, 8, 9}. Notice that 1 is included because it belongs to U even though it is neither prime nor a member of A. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 4, 6, 8, 9}
Why is this the correct answer?
The complement Aᶜ contains the elements of U that are not in A. Starting with U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, remove 2, 3, 5, and 7. The remaining elements are 1, 4, 6, 8, and 9, so Aᶜ = {1, 4, 6, 8, 9}. Notice that 1 is included because it belongs to U even though it is neither prime nor a member of A. Therefore, 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.
