What is the correct statement about A = {x ∈ ℕ : x is a multiple of 3}?
Answer and explanation
Correct answer: A is an infinite set — A एक अनंत समुच्चय है
The natural-number multiples of 3 include 3, 6, 9, 12, 15, and so on. For every multiple 3k, where k is a natural number, another larger multiple 3(k+1) can be found. Therefore, the sequence never ends and there is no greatest element. Hence A is an infinite set, not merely the singleton {3}.
Frequently asked questions
What is the correct answer to this question?
A is an infinite set — A एक अनंत समुच्चय है
Why is this the correct answer?
The natural-number multiples of 3 include 3, 6, 9, 12, 15, and so on. For every multiple 3k, where k is a natural number, another larger multiple 3(k+1) can be found. Therefore, the sequence never ends and there is no greatest element. Hence A is an infinite set, not merely the singleton {3}.
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.
