Which is the correct set-builder form of the set G = {2, 4, 6, 8}?
Answer and explanation
Correct answer: {x ∈ ℕ : x is even and x < 10}
The elements of G are precisely the positive even natural numbers that are less than 10: 2, 4, 6, and 8. Therefore, the condition must be “x is even and x < 10.” Option B also includes 10, while option C describes odd numbers and option D includes numbers that are not necessarily even and may include 1, 2, 3, and so on.
Frequently asked questions
What is the correct answer to this question?
{x ∈ ℕ : x is even and x < 10}
Why is this the correct answer?
The elements of G are precisely the positive even natural numbers that are less than 10: 2, 4, 6, and 8. Therefore, the condition must be “x is even and x < 10.” Option B also includes 10, while option C describes odd numbers and option D includes numbers that are not necessarily even and may include 1, 2, 3, and so on.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
