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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

Choose the correct type for the set {x ∈ N : x < 1}.

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Answer and explanation

Correct answer: Empty set

Using the standard school convention N = {1, 2, 3, ...}, every natural number is at least 1. Consequently, there is no natural number satisfying x < 1. A set that contains no element is called the empty set and is written as ∅. Therefore the given set is empty, not a singleton or an infinite set.

Tags

setsempty-setnatural-numbersset-builder-formThe 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?

Empty set

Why is this the correct answer?

Using the standard school convention N = {1, 2, 3, ...}, every natural number is at least 1. Consequently, there is no natural number satisfying x < 1. A set that contains no element is called the empty set and is written as ∅. Therefore the given set is empty, not a singleton or 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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