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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

What type of set is A = {x : x is a natural number divisible by 3}?

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Answer and explanation

Correct answer: Infinite set

The natural numbers divisible by 3 are 3, 6, 9, 12, 15, and so on. For every such number, adding 3 gives another natural number that is also divisible by 3. Since this process never ends and no upper bound is specified, the set has infinitely many elements. Therefore, A is an infinite set.

Tags

setsinfinite-setdivisibilityThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Infinite set

Why is this the correct answer?

The natural numbers divisible by 3 are 3, 6, 9, 12, 15, and so on. For every such number, adding 3 gives another natural number that is also divisible by 3. Since this process never ends and no upper bound is specified, the set 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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