If P = {x : x is a one-digit even natural number}, what is the correct roster form of P?
Answer and explanation
Correct answer: P = {2, 4, 6, 8}
Under the standard school convention used here, natural numbers begin with 1. The one-digit natural numbers are 1 through 9, and the even ones among them are 2, 4, 6, and 8. Zero is not included because it is not being counted as a natural number in this convention, and 10 is not one-digit. Therefore the correct roster form is P = {2, 4, 6, 8}.
Frequently asked questions
What is the correct answer to this question?
P = {2, 4, 6, 8}
Why is this the correct answer?
Under the standard school convention used here, natural numbers begin with 1. The one-digit natural numbers are 1 through 9, and the even ones among them are 2, 4, 6, and 8. Zero is not included because it is not being counted as a natural number in this convention, and 10 is not one-digit. Therefore the correct roster form is P = {2, 4, 6, 8}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
