If U = {x : x ∈ N, x ≤ 100} and A = {x : x is not divisible by 2}, then A' is the set of what?
Answer and explanation
Correct answer: Numbers divisible by 2
The complement of a set consists of all elements of the universal set that are not in that set. Here A contains the natural numbers up to 100 that are not divisible by 2. Therefore, A' contains precisely those elements of U that are divisible by 2, namely the even natural numbers from 1 to 100.
Frequently asked questions
What is the correct answer to this question?
Numbers divisible by 2
Why is this the correct answer?
The complement of a set consists of all elements of the universal set that are not in that set. Here A contains the natural numbers up to 100 that are not divisible by 2. Therefore, A' contains precisely those elements of U that are divisible by 2, namely the even natural numbers from 1 to 100.
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.
