Which is the correct set-builder form of B₁ = {3, 6, 9, 12, …}?
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Answer and explanation
Correct answer: B₁ = {x : x = 3n, n ∈ ℕ}
The listed numbers are precisely the positive multiples of 3. If n is a natural number beginning with 1, the rule x = 3n produces 3, 6, 9, 12, and so on. Option B starts with 4, option C gives odd numbers, and option D also includes zero and negative multiples.
Frequently asked questions
What is the correct answer to this question?
B₁ = {x : x = 3n, n ∈ ℕ}
Why is this the correct answer?
The listed numbers are precisely the positive multiples of 3. If n is a natural number beginning with 1, the rule x = 3n produces 3, 6, 9, 12, and so on. Option B starts with 4, option C gives odd numbers, and option D also includes zero and negative multiples.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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