What is the correct statement for the set {1/n : n ∈ ℕ}?
Answer and explanation
Correct answer: It is infinite
Taking n = 1, 2, 3, 4, and so on produces the distinct values 1, 1/2, 1/3, 1/4, and so on. Although these positive fractions become smaller and approach zero, they never become zero and the process of choosing a new natural number never ends. Thus the set has infinitely many elements, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
It is infinite
Why is this the correct answer?
Taking n = 1, 2, 3, 4, and so on produces the distinct values 1, 1/2, 1/3, 1/4, and so on. Although these positive fractions become smaller and approach zero, they never become zero and the process of choosing a new natural number never ends. Thus the set has infinitely many elements, so option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, many more. Step 3: Hence the set is infinite..
