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

What kind of set is A = {x : x is a natural number greater than 100}?

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Answer and explanation

Correct answer: Infinite set

The set consists of 101, 102, 103, and so on. For every natural number in this set, a larger natural number can be found that is also greater than 100. Thus the list has no final member and continues without end. Therefore, A is an infinite set, even though it has a lower bound.

Tags

setsinfinite-setnatural-numbersThe 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 set consists of 101, 102, 103, and so on. For every natural number in this set, a larger natural number can be found that is also greater than 100. Thus the list has no final member and continues without end. Therefore, A is an infinite set, even though it has a lower bound.

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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