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

What kind of set is A = {x : x is an integer and 0 < x < 1}?

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Answer and explanation

Correct answer: Empty set

The condition requires an integer strictly greater than 0 and strictly less than 1. There is no integer between 0 and 1; numbers such as 0.5 are not integers. Consequently, no integer satisfies the condition, so A contains no elements and is the empty set ∅. Hence option A is correct.

Tags

setsempty-setintegersThe 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?

The condition requires an integer strictly greater than 0 and strictly less than 1. There is no integer between 0 and 1; numbers such as 0.5 are not integers. Consequently, no integer satisfies the condition, so A contains no elements and is the empty set ∅. Hence option A is correct.

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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