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Class 10MathematicsSetsSets and their representationsEasyLevel 1

Which statement is correct about F = {x : x ∈ N and 5 < x < 6}?

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Answer and explanation

Correct answer: F = ∅

The condition requires a natural number strictly greater than 5 and strictly less than 6. There is no integer, and therefore no natural number, between two consecutive integers 5 and 6. Since the endpoints are excluded by the strict inequalities, neither 5 nor 6 can be included. Hence F is the empty set.

Tags

setsempty-setnatural-numbersstrict-inequalitySets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

F = ∅

Why is this the correct answer?

The condition requires a natural number strictly greater than 5 and strictly less than 6. There is no integer, and therefore no natural number, between two consecutive integers 5 and 6. Since the endpoints are excluded by the strict inequalities, neither 5 nor 6 can be included. Hence F is the empty set.

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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