Which option gives the most accurate set-builder form of V = {4, 8, 12, 16, 20}?
Answer and explanation
Correct answer: V = {4n : n ∈ N, 1 ≤ n ≤ 5}
The listed elements are exactly the first five positive multiples of 4. Substituting n = 1, 2, 3, 4, and 5 into 4n gives 4, 8, 12, 16, and 20, with no extra elements. Option B produces every positive even number up to 20, option C describes infinitely many multiples of 4, and option D includes every natural number from 4 through 20. Therefore, option A is the only exact set-builder representation.
Frequently asked questions
What is the correct answer to this question?
V = {4n : n ∈ N, 1 ≤ n ≤ 5}
Why is this the correct answer?
The listed elements are exactly the first five positive multiples of 4. Substituting n = 1, 2, 3, 4, and 5 into 4n gives 4, 8, 12, 16, and 20, with no extra elements. Option B produces every positive even number up to 20, option C describes infinitely many multiples of 4, and option D includes every natural number from 4 through 20. Therefore, option A is the only exact set-builder representation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
