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Class 10MathematicsSetsSets and their representationsEasyLevel 2

If C = {x : x ∈ N and x < 1}, what type of set is C?

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Answer and explanation

Correct answer: Empty set

Using the usual school convention N = {1, 2, 3, ...}, every natural number is at least 1. Therefore, no natural number satisfies x < 1. A set whose defining condition is satisfied by no element has zero elements and is called the empty set, commonly denoted by ∅. Hence option A is correct.

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setsempty-setnatural-numbersset-builder-formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Empty set

Why is this the correct answer?

Using the usual school convention N = {1, 2, 3, ...}, every natural number is at least 1. Therefore, no natural number satisfies x < 1. A set whose defining condition is satisfied by no element has zero elements and is called the empty set, commonly denoted by ∅. Hence option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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