which of the following are sets? justify your answer. (1) the collection of all the days in a week beginning with the letter S. (2) the collection of 10 talented actors of India.
(3) the collection of 5 great batsman of cricket.
(4) the collection of all girls in your class.
(5) the collection of all even natural number less than 9.
Answers
Answer:
answer for the given problem is given
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(1) the collection of all the days in a week beginning with the letter S.
The collection of all days in week beginning with letter S are :-
W = { Saturday, Sunday}
So,
The collection of all days in week beginning with letter S is a well defined collection of objects because anyone can definitely identify days that belongs to this collection.
Hence,
- This collection is a set.
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(2) the collection of 10 talented actors of India.
The collection of 10 talented actors of India os not a well defined collection because the criteria for determining 10 talented actors may vary from person to person.
Hence,
- This collection is not a set.
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(3) the collection of 5 great batsman of cricket.
The collection of 5 great batsman of cricket is not a well defined collection because the criteria for determining 5 great batsman of cricket may vary from person to person.
For Indian person some say they like Virat the most and some other say any other name.
Hence,
- The collection is not a set.
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(4) the collection of all girls in your class.
The collection of all girls in your class is a well defined collection because we can easily identify a girl who belongs to this collection.
So,
- The given collection is a set.
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(5) the collection of all even natural number less than 9.
A = { 2 ,4 ,6 ,8 }
The collection of all even natural numbers less than 9 is well defined collection because we can easily identify even natural numbers less than 9.
So,
- The given collection is a set.
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