Which of the following are sets ? Justify your answer.
) The collection of all the months of a year beginning with the letter J.
Answers
To find :
- we need to find that the given statement is a set or not .
Solution :
The collection of all the months of a year beginning with the letter J.
Let A be the set of all the months of a year beginning with the letter J.
A = {January , June , July}
So,
The given collection is well defined because one can easily identify a month that belongs to this collection.
Hence,
- The given collection is a set.
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Set :-
Set is a well defined collection of objects .
Example:-
Set of 1st four natural numbers = { 1 ,2 , 3 , 4}Hence,
The above collection is well defined because Anyone can easily identify a element belongs to this collection .
So, it's a set .
Note:-
⚘ A set can be written in any order.
⚘ same elements can not be repeated.
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set is collection of distinct objects.
(The collection of all the months of a year beginning with the letter “J”.
{January,June,July}
Hence, it is set