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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 3

Which statement is correct about A = {x ∈ ℤ : x ≥ -2}?

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Answer and explanation

Correct answer: A is infinite

The set begins with -2 and continues as -2, -1, 0, 1, 2, 3, and so on. Although it has a lower bound, there is no greatest integer in the set because integers continue indefinitely to the right. Therefore the set has infinitely many elements. A starting boundary alone does not make a set finite.

Tags

setsinfinite setsintegersinequalitiesThe 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?

A is infinite

Why is this the correct answer?

The set begins with -2 and continues as -2, -1, 0, 1, 2, 3, and so on. Although it has a lower bound, there is no greatest integer in the set because integers continue indefinitely to the right. Therefore the set has infinitely many elements. A starting boundary alone does not make a set finite.

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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