If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 3, 5, 7}, what is Aᶜ?
Answer and explanation
Correct answer: {2, 4, 6, 8}
The complement Aᶜ is defined with respect to the stated universal set U. It consists of every element in U that does not belong to A. Since A contains the odd members 1, 3, 5, and 7, the remaining elements of U are 2, 4, 6, and 8. Therefore Aᶜ = {2, 4, 6, 8}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6, 8}
Why is this the correct answer?
The complement Aᶜ is defined with respect to the stated universal set U. It consists of every element in U that does not belong to A. Since A contains the odd members 1, 3, 5, and 7, the remaining elements of U are 2, 4, 6, and 8. Therefore Aᶜ = {2, 4, 6, 8}, 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.