Which is the correct set-builder form for Q₁ = {3, 6, 9, 12, 15}?
Answer and explanation
Correct answer: Q₁ = {x : x = 3n, n ∈ N, 1 ≤ n ≤ 5}
The elements 3, 6, 9, 12, and 15 are precisely the first five positive multiples of 3. Writing x = 3n and allowing n to range from 1 through 5 generates those values and no others. Option B would also generate 0, while option C generates multiples of 5. Therefore, option A is the correct set-builder form.
Frequently asked questions
What is the correct answer to this question?
Q₁ = {x : x = 3n, n ∈ N, 1 ≤ n ≤ 5}
Why is this the correct answer?
The elements 3, 6, 9, 12, and 15 are precisely the first five positive multiples of 3. Writing x = 3n and allowing n to range from 1 through 5 generates those values and no others. Option B would also generate 0, while option C generates multiples of 5. Therefore, option A is the correct set-builder form.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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