Which of the following are sets? Justify our answer. (i) The collection of all months of a year beginning with the letter J. (ii) The collection of ten most talented writers of India. (iii) A team of eleven 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.
(i)
The collection of all months of a year beginning with the letter J is a set because one can easily identify the month that belongs to the collection.
(ii)
The collection of ten most talented writers of India is not a set because it is not a well defined collection due to the various criteria of determining a writer’s talent.
(iii)
A team of eleven best-cricket batsman of the world is not a set because it is not a well defined collection due to the various criteria of determining a batsman’s talent.
(iv)
The collection of all boys in a class is a set because one can easily identify the boys that belong to the collection.
(v)
The collection of all natural numbers less than 100 is a set because one can easily identify the natural numbers that belongs to the collection.
(vi)
The collection of all novels written by Munshi Prem Chand is a set because one can easily identify the novels that belong to the collection.
(vii)
The collection of all even integers is a set because one can easily identify the integers that belong to the collection.
(viii)
The collection of questions in the chapter is a set because one can easily identify the questions belong to the collection.
(ix)
A collection of most dangerous animals of the world is not a set because it is not a well defined collection due to the different criteria of determining the level of danger.
(i)
The collection of all months of a year beginning with the letter J is a set because one can easily identify the month that belongs to the collection.
(ii)
The collection of ten most talented writers of India is not a set because it is not a well defined collection due to the various criteria of determining a writer’s talent.
(iii)
A team of eleven best-cricket batsman of the world is not a set because it is not a well defined collection due to the various criteria of determining a batsman’s talent.
(iv)
The collection of all boys in a class is a set because one can easily identify the boys that belong to the collection.
(v)
The collection of all natural numbers less than 100 is a set because one can easily identify the natural numbers that belongs to the collection.
(vi)
The collection of all novels written by Munshi Prem Chand is a set because one can easily identify the novels that belong to the collection.
(vii)
The collection of all even integers is a set because one can easily identify the integers that belong to the collection.
(viii)
The collection of questions in the chapter is a set because one can easily identify the questions belong to the collection.
(ix)
A collection of most dangerous animals of the world is not a set because it is not a well defined collection due to the different criteria of determining the level of danger.
