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

What type of set is V = {x : x is a positive integer divisible by 7}?

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Answer and explanation

Correct answer: Infinite set

The positive integers divisible by 7 are 7, 14, 21, 28, 35, and so on. For every positive multiple 7n, where n is a positive integer, there is another larger multiple 7(n + 1). Thus the list never ends, so V is an infinite set. It is neither empty nor a singleton.

Tags

setsinfinite setdivisibilitypositive integersThe 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 positive integers divisible by 7 are 7, 14, 21, 28, 35, and so on. For every positive multiple 7n, where n is a positive integer, there is another larger multiple 7(n + 1). Thus the list never ends, so V is an infinite set. It is neither empty nor a singleton.

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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