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

What is the correct statement for A = {x ∈ N : x is greater than every natural number}?

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Answer and explanation

Correct answer: A = ∅

No natural number can be greater than every natural number. If x is any natural number, then x + 1 is also a natural number and is greater than x. Thus x fails the required condition. This argument works for every possible natural number, so the set has no elements and is the empty set: A = ∅.

Tags

setsempty setnatural numbersinfinite setsThe 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?

A = ∅

Why is this the correct answer?

No natural number can be greater than every natural number. If x is any natural number, then x + 1 is also a natural number and is greater than x. Thus x fails the required condition. This argument works for every possible natural number, so the set has no elements and is the empty set: A = ∅.

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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