If A = {x : x ∈ ℕ, x is even and x < 10}, which set is A?
Answer and explanation
Correct answer: {2, 4, 6, 8}
The set requires natural numbers that are even and strictly less than 10. Under the usual school convention ℕ = {1, 2, 3, ...}, the even natural numbers below 10 are 2, 4, 6, and 8. Zero is excluded by this convention, odd numbers do not satisfy the condition, and 10 is not less than 10. Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6, 8}
Why is this the correct answer?
The set requires natural numbers that are even and strictly less than 10. Under the usual school convention ℕ = {1, 2, 3, ...}, the even natural numbers below 10 are 2, 4, 6, and 8. Zero is excluded by this convention, odd numbers do not satisfy the condition, and 10 is not less than 10. Therefore option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
