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Which of the following are sets? Justify...

Which of the following are sets? Justify your answer.
(i)  The collection of all the months of a year beginning with the letter J.
(ii) The collection of ten most talented writers of India.
(iii) A team of elevens best–cricket batsmen of the world.
(iv) The collection of all boys in your class.
(v) The collection of all natural numbers less than 100.
(vi) A collection of novels written by the writer Munshi Prem Chand.
(vii) The collection of all even integers.
(viii) The collection of questions in this chapter.
(ix)  A collection of most dangerous animals of the world.

Text Solution

AI Generated Solution

To determine which of the given collections are sets, we need to apply the definition of a set. A set is a collection of well-defined objects, where the definition does not vary from person to person. Let's evaluate each option step by step. ### Step-by-Step Solution: 1. **(i) The collection of all the months of a year beginning with the letter J.** - **Justification:** The months that start with the letter J are January, June, and July. This is a well-defined collection, and it does not change based on individual opinions. - **Conclusion:** This is a set. ...
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