Which option correctly shows U = {x : x ∈ ℕ, x is a prime number less than 10}?
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Answer and explanation
Correct answer: U = {2, 3, 5, 7}
A prime number is a natural number greater than 1 with exactly two positive divisors: 1 and itself. The prime numbers less than 10 are 2, 3, 5, and 7. The number 1 is not prime, and 9 is composite because it has divisors 1, 3, and 9. Therefore the correct roster form is option A.
Frequently asked questions
What is the correct answer to this question?
U = {2, 3, 5, 7}
Why is this the correct answer?
A prime number is a natural number greater than 1 with exactly two positive divisors: 1 and itself. The prime numbers less than 10 are 2, 3, 5, and 7. The number 1 is not prime, and 9 is composite because it has divisors 1, 3, and 9. Therefore the correct roster form is option A.
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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