ExPlain abOut ChAptEr SETS ...
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Answers
Answer:
Definition of set:
A set is a collection of well-defined objects.
Explanation of the term “Well-defined”:
Well-defined means, it must be absolutely clear that which object belongs to the set and which does not.
For example:
‘The collection of positive numbers less than 10’ is a set, because, given any numbers, we can always find out whether that number belongs to the collection or not. But ‘the collection of good students in your class’ is not a set as in this case no definite rule is supplied by the help of which you can determine whether a particular student of your class is good or not. Thus, ‘the collection of first five months of a year’ is a set, but ‘the collection of rich man in your town’ is not a set.
Now, to get basic concepts of sets about the meaning of well-defined the following examples are given below.
1. The collection of vowels in English alphabets. This set contains five elements, namely, a, e, i, o, u.
2. A group of “Singers with ages between 18 years and 25 years” is a set, because the range of ages of the singer is given and so it can easily be decided that which singer is to be included and which is to be excluded. Hence, the objects are well-defined.
3. A collection of “Red flowers” is a set, because every red flowers will be included in this set i.e., the objects of the set are well-defined.
4. The collection of past presidents of the United States union is a set.
5. A group of “Young dancers” is not a set, as the range of the ages of young dancers is not given and so it can’t be decided that which dancer is to be considered young i.e., the objects are not well-defined.
6. The collection of cricketers in the world who were out for 99 runs in a test mach is a set.
Thus, basic concepts of sets are explained with the various examples. To know more in details follow the following contents.
Hey mate,..
A set is a collection of things that have something in common or follow a rule.
Basic properties of set:-
1)The things in the set are called are called elements.
2)A set is enclosed by flower brackets.{ }.
3)Elements in a set are separated with a comma.
4)Elements of a set follow a common rule.
Hope it will help you.
✨sai