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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

What is the nature of the number of elements in A = {x : x is a natural number greater than 50}?

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Answer and explanation

Correct answer: Infinite

The natural numbers greater than 50 are 51, 52, 53, 54, and so on. There is no greatest natural number, so new members can always be found beyond any listed value. The set therefore continues without end and has infinitely many elements. Hence, the correct answer is option D, infinite.

Tags

setsinfinite-setnatural-numberscardinalityThe 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

Why is this the correct answer?

The natural numbers greater than 50 are 51, 52, 53, 54, and so on. There is no greatest natural number, so new members can always be found beyond any listed value. The set therefore continues without end and has infinitely many elements. Hence, the correct answer is option D, infinite.

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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