Which is the roster form of I = {x ∈ ℕ : x is a one-digit even number}, assuming ℕ = {1, 2, 3, ...}?
Answer and explanation
Correct answer: {2, 4, 6, 8}
The question explicitly defines the natural numbers as 1, 2, 3, and so on, so 0 is not included. The one-digit natural numbers are 1 through 9, and the even ones among them are 2, 4, 6, and 8. The number 10 is not one-digit. Therefore, the roster form of I is {2, 4, 6, 8}, making option B correct.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6, 8}
Why is this the correct answer?
The question explicitly defines the natural numbers as 1, 2, 3, and so on, so 0 is not included. The one-digit natural numbers are 1 through 9, and the even ones among them are 2, 4, 6, and 8. The number 10 is not one-digit. Therefore, the roster form of I is {2, 4, 6, 8}, making option B correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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