If U = {1,2,3,4,5,6,7,8} and A = {2,4,8}, what is A'?
Answer and explanation
Correct answer: {1,3,5,6,7}
The complement of A relative to U is defined as A' = U \ A: all elements in U that are not in A. From U = {1,2,3,4,5,6,7,8}, remove 2, 4, and 8. The remaining elements are {1,3,5,6,7}, so option B is correct. Option A repeats A itself, while option C still contains elements of A and option D is not justified.
Frequently asked questions
What is the correct answer to this question?
{1,3,5,6,7}
Why is this the correct answer?
The complement of A relative to U is defined as A' = U \ A: all elements in U that are not in A. From U = {1,2,3,4,5,6,7,8}, remove 2, 4, and 8. The remaining elements are {1,3,5,6,7}, so option B is correct. Option A repeats A itself, while option C still contains elements of A and option D is not justified.
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.
