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.
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.

Answers:

(i) This collection is a set. The collection of all-natural numbers less than 50 makes a set because it is a well-defined collection.

(ii) This collection is not a set. The word ‘good’ in the collection is not well defined and it cannot form a set.