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Introduction to Sets

Is the follow...

Question

Is the following collection, a set? Justify your answer:

(i) A collection of all natural numbers less than 50.

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Solution

Yes, a collection of all natural numbers less than 50 is a set.

As we know, all natural numbers less than 50 is a definite quantity and well defined.

Hence it is a set.

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Similar questions

Which of the following collections are sets ? Justify your answer :

(i) A collection of all natural numbers less than 50.

(ii) The collection of good hockey players in India.

(iii) The collection of all girls in your class.

(iv) The collection of most talented writers of India.

(v) The collection of difficult topics in Mathematics.

(vi) The collection of all months of a year beginning with the letter J.

(vii) A collection of novels written by Munshi Prem Chand.

(viii) The collection of all questions in this chapter.

(ix) A collection of most dangerous animals of the world.

(x) The collection of prime integers.

100.

Which of the following collections are sets ? Justify your answer :

(i) A collection of all natural numbers less than 50.

(ii) The collection of good hockey players in India.

(iii) The collection of all girls in your class.

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