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

Set A is the set of all integers. What type of set is A?

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Answer and explanation

Correct answer: Infinite set

The integers are ..., −3, −2, −1, 0, 1, 2, 3, ... . They extend without end in the negative direction and also without end in the positive direction. Consequently, there is no final integer and the set cannot be listed completely. Therefore, the set of all integers is infinite.

Tags

setsinfinite-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?

Infinite set

Why is this the correct answer?

The integers are ..., −3, −2, −1, 0, 1, 2, 3, ... . They extend without end in the negative direction and also without end in the positive direction. Consequently, there is no final integer and the set cannot be listed completely. Therefore, the set of all integers is infinite.

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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