Which option represents C₁ = {2, 3, 5, 7, 11} most accurately in set-builder form?
Answer and explanation
Correct answer: {x ∈ ℕ : x is prime and x < 12}
The listed members 2, 3, 5, 7, and 11 are exactly the prime natural numbers less than 12. Option A states both necessary conditions: x must be prime and x must be less than 12. Option B also includes non-primes such as 1 and 9, while C includes every smaller natural number and D wrongly excludes 2.
Frequently asked questions
What is the correct answer to this question?
{x ∈ ℕ : x is prime and x < 12}
Why is this the correct answer?
The listed members 2, 3, 5, 7, and 11 are exactly the prime natural numbers less than 12. Option A states both necessary conditions: x must be prime and x must be less than 12. Option B also includes non-primes such as 1 and 9, while C includes every smaller natural number and D wrongly excludes 2.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
