Which option correctly describes D₁ = {x ∈ ℕ : x is a multiple of 5}?
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Answer and explanation
Correct answer: It is an infinite set.
The natural-number multiples of 5 are 5, 10, 15, 20, 25, and so on. This sequence continues indefinitely because multiplying 5 by every positive natural number produces another member. There is no greatest natural-number multiple of 5, so D₁ has infinitely many elements and is an infinite set.
Frequently asked questions
What is the correct answer to this question?
It is an infinite set.
Why is this the correct answer?
The natural-number multiples of 5 are 5, 10, 15, 20, 25, and so on. This sequence continues indefinitely because multiplying 5 by every positive natural number produces another member. There is no greatest natural-number multiple of 5, so D₁ 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: Sets and their representations.
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