Which of the Following Collections are Sets?
Which of the Following Collections are Sets?
| Collection |
Set / Not a Set |
Reason |
|
(i) A collection of all natural numbers less than 50.
|
Set
|
The collection is well-defined.
|
|
(ii) The collection of good hockey players in India.
|
Not a Set
|
The word “good” is not well-defined.
|
|
(iii) The collection of all girls in your class.
|
Set
|
The members can be clearly identified.
|
|
(iv) The collection of most talented writers of India.
|
Not a Set
|
The term “most talented” is not well-defined.
|
|
(v) The collection of difficult topics in mathematics.
|
Not a Set
|
The word “difficult” differs from person to person.
|
|
(vi) The collection of novels written by Munshi Prem Chand.
|
Set
|
The collection is well-defined.
|
|
(vii) The collection of all months of a year beginning with the letter J.
|
Set
|
The members are clearly determined.
|
|
(viii) The collection of all questions in this chapter.
|
Set
|
The collection is clearly defined.
|
|
(ix) A collection of most dangerous animals of the world.
|
Not a Set
|
The term “most dangerous” is not well-defined.
|
|
(x) The collection of prime integers.
|
Set
|
Prime integers are well-defined.
|
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