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.
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
well-defined collection of objects because one can definitely
identify a month that belongs to this collection.
Hence,
this collection is a set.
(ii) The
collection of ten most talented writers of India is not a
well-defined collection because the criteria for determining a
writer’s talent may vary from person to person.
Hence,
this collection is not a set.
(iii) A
team of eleven best cricket batsmen of the world is not a
well-defined collection because the criteria for determining a
batsman’s talent may vary from person to person.
Hence,
this collection is not a set.
(iv) The
collection of all boys in your class is a well-defined collection
because you can definitely identify a boy who belongs to this
collection.
Hence,
this collection is a set.
(v) The
collection of all natural numbers less than 100 is a well-defined
collection because one can definitely identify a number that belongs
to this collection.
Hence,
this collection is a set.
(vi) A
collection of novels written by the writer Munshi Prem Chand is a
well-defined collection because one can definitely identify a book
that belongs to this collection.
Hence,
this collection is a set.
(vii) The
collection of all even integers is a well-defined collection because
one can definitely identify an even integer that belongs to this
collection.
Hence,
this collection is a set.
(viii) The
collection of questions in this chapter is a well-defined collection
because one can definitely identify a question that belongs to this
chapter.
Hence,
this collection is a set.
(ix) The
collection of most dangerous animals of the world is not a
well-defined collection because the criteria for determining the
dangerousness of an animal can vary from person to person.
Hence,
this collection is not a set.
(i) The collection of all months of a year beginning with the letter J is a well-defined collection of objects because one can definitely identify a month that belongs to this collection.
Hence, this collection is a set.
(ii) The collection of ten most talented writers of India is not a well-defined collection because the criteria for determining a writer’s talent may vary from person to person.
Hence, this collection is not a set.
(iii) A team of eleven best cricket batsmen of the world is not a well-defined collection because the criteria for determining a batsman’s talent may vary from person to person.
Hence, this collection is not a set.
(iv) The collection of all boys in your class is a well-defined collection because you can definitely identify a boy who belongs to this collection.
Hence, this collection is a set.
(v) The collection of all natural numbers less than 100 is a well-defined collection because one can definitely identify a number that belongs to this collection.
Hence, this collection is a set.
(vi) A collection of novels written by the writer Munshi Prem Chand is a well-defined collection because one can definitely identify a book that belongs to this collection.
Hence, this collection is a set.
(vii) The collection of all even integers is a well-defined collection because one can definitely identify an even integer that belongs to this collection.
Hence, this collection is a set.
(viii) The collection of questions in this chapter is a well-defined collection because one can definitely identify a question that belongs to this chapter.
Hence, this collection is a set.
(ix) The collection of most dangerous animals of the world is not a well-defined collection because the criteria for determining the dangerousness of an animal can vary from person to person.
Hence, this collection is not a set.
