How should A = {x ∈ ℕ : x is a multiple of 5} be classified?
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Answer and explanation
Correct answer: Infinite set
The natural-number multiples of 5 are 5, 10, 15, 20, 25, and so on. For every multiple 5n, where n is a natural number, the next multiple 5(n+1) also belongs to the set. Since this process never ends and no upper bound is imposed, A has infinitely many elements. Therefore A 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 5 are 5, 10, 15, 20, 25, and so on. For every multiple 5n, where n is a natural number, the next multiple 5(n+1) also belongs to the set. Since this process never ends and no upper bound is imposed, A has infinitely many elements. Therefore A 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.
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