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

If A = {x : x ∈ ℕ and x is greater than every three-digit number}, what kind of set is A?

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Answer and explanation

Correct answer: Infinite set

The greatest three-digit number is 999. Every natural number from 1000 onward is greater than every three-digit number, so A = {1000, 1001, 1002, ...}. This list has no final member and continues without bound. Therefore A has infinitely many elements, making option C correct.

Tags

setsinfinite-setnatural-numbersclassificationThe 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 greatest three-digit number is 999. Every natural number from 1000 onward is greater than every three-digit number, so A = {1000, 1001, 1002, ...}. This list has no final member and continues without bound. Therefore A has infinitely many elements, making option C correct.

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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