Which is the correct roster form of P = {x : x is a prime number less than 10}?
Answer and explanation
Correct answer: P = {2, 3, 5, 7}
A prime number is greater than 1 and has exactly two positive divisors: 1 and itself. Checking the natural numbers below 10 gives 2, 3, 5, and 7 as primes. The number 1 is excluded because it has only one positive divisor, and 4, 6, and 8 are composite. Therefore the correct roster, or listing, form is P = {2, 3, 5, 7}.
Frequently asked questions
What is the correct answer to this question?
P = {2, 3, 5, 7}
Why is this the correct answer?
A prime number is greater than 1 and has exactly two positive divisors: 1 and itself. Checking the natural numbers below 10 gives 2, 3, 5, and 7 as primes. The number 1 is excluded because it has only one positive divisor, and 4, 6, and 8 are composite. Therefore the correct roster, or listing, form is P = {2, 3, 5, 7}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
