If U = {1, 2, …, 50} and A = {x ∈ U : x is not even}, what is A'?
Answer and explanation
Correct answer: The set of even numbers in U
Within the universal set U, the numbers that are not even are precisely the odd numbers, so A is the set of odd numbers from 1 to 50. The complement A' consists of all elements of U that are not in A. These are exactly the even numbers: {2, 4, 6, …, 50}. Therefore, A' is the set of even numbers in U, making option A correct.
Frequently asked questions
What is the correct answer to this question?
The set of even numbers in U
Why is this the correct answer?
Within the universal set U, the numbers that are not even are precisely the odd numbers, so A is the set of odd numbers from 1 to 50. The complement A' consists of all elements of U that are not in A. These are exactly the even numbers: {2, 4, 6, …, 50}. Therefore, A' is the set of even numbers in U, making option A 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.
