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 the girls in your class.
(iv) The collection of all talented writers of India.
(v) The collection of difficult topics in Mathematics.
(vi) The collection of novels written by Munshi Prem Chand.
(vii) The collection of all questions of this chapter.
(viii) The collection of all months of a year beginning with the letter J.
(ix) A collection of most dangerous animals of the world.
(x) The collection of prime integers.
(i) It is a set. As we are saying all numbers less than 50 it is a definite quantity hence it is a set.
(ii) It is not a set. Because when we say good hockey players, it changes opinion wise and cannot be well defined or is not countable.
(iii) It is a set. As we are saying a collection of all the girls in your class it is a definite quantity hence it is a set.
(iv) It is not a set. Because when we say a collection of all talented writers of India, it changes opinion wise and cannot be well defined or is not countable.
(v) It is not a set. Because when we say a collection of all talented writers of India, it changes opinion wise and cannot be well defined or is not countable.
(vi) It is a set. As we are saying a collection of novels written by Munshi Prem Chand.it is a definite quantity hence it is a set.
(vii) It is a set. As we are saying a collection of all the questions in this chapter. It is a definite quantity hence it is a set.
(viii) It is a set. As we are saying a collection of all months of a year beginning with the letter J. It is a definite quantity hence it is a set.
(ix) It is not a set. Because when we say a collection of most dangerous animals of the world it changes opinion wise and we cannot define dangerousness of an animal.
(x) It is a set as we are saying a collection of prime integers. It is a definite quantity hence it is a set.