If A = {x : x ∈ ℕ, x is a factor of 14 and x is odd}, what is A?
Answer and explanation
Correct answer: {1, 7}
The positive natural-number factors of 14 are 1, 2, 7, and 14. The additional condition requires the factor to be odd. Among these factors, 1 and 7 are odd, whereas 2 and 14 are even. Keeping only the values satisfying both conditions gives A = {1, 7}. The word “and” means that each selected element must meet both requirements.
Frequently asked questions
What is the correct answer to this question?
{1, 7}
Why is this the correct answer?
The positive natural-number factors of 14 are 1, 2, 7, and 14. The additional condition requires the factor to be odd. Among these factors, 1 and 7 are odd, whereas 2 and 14 are even. Keeping only the values satisfying both conditions gives A = {1, 7}. The word “and” means that each selected element must meet both requirements.
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.
