If X = {x : x ∈ ℕ and x is a multiple of 12}, what type of set is X?
Answer and explanation
Correct answer: Infinite set
The natural-number multiples of 12 are 12, 24, 36, 48, and so on. In general, every number of the form 12n, where n is a positive natural number, belongs to X. Since there is no largest natural number, the sequence of multiples continues indefinitely. Therefore, X has infinitely many elements and is an infinite set.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The natural-number multiples of 12 are 12, 24, 36, 48, and so on. In general, every number of the form 12n, where n is a positive natural number, belongs to X. Since there is no largest natural number, the sequence of multiples continues indefinitely. Therefore, X has infinitely many elements and is an infinite set.
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.
