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

Choose the correct option for the set I = {x : x ∈ ℤ, 2 < x < 3}.

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Answer and explanation

Correct answer: I = ∅

The set contains integers strictly greater than 2 and strictly less than 3. The only numbers between 2 and 3 are non-integers, while there is no integer in this open interval. Therefore, no integer satisfies the condition, so the set has no elements and is the empty set, written as ∅.

Tags

setsempty setintegersstrict inequalityThe 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?

I = ∅

Why is this the correct answer?

The set contains integers strictly greater than 2 and strictly less than 3. The only numbers between 2 and 3 are non-integers, while there is no integer in this open interval. Therefore, no integer satisfies the condition, so the set has no elements and is the empty set, written as ∅.

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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