Examples of sets.
1) The Collection of English alphabets.
a, b, c, d, ... x, y, z
2) The collection of Natural numbers
1, 2, 3, ...........
3) The Collection of Prime numbers
2, 3, 5, 7,..............
4) The Collection of the devices of a computer the input device. The central
processing unit, the output device
Examples of collections that are not sets
1) The collection of 5 Tasty sweet dishes.
2) The collection of interesting novels.
3) The collection of easy problems in X Maths text book.
4) The collection of beautiful dresses.
A Set is denoted by upper case letters A, B, C, D,.......... etc.
We have seen the different sets of Numbers in the chapter Real Numbers.
Roster form of writing a set:
When all the elements in the set are listed down separated by commas within
curly brackets, the set is said be written in Roster form.
All the above sets are written in Roster form.
Consider the set B of all multiples of 2 less than 20
B = {2, 4, 6, 8,. .........18}
We can write the multiples of 2 in the following manner
B = {18, 16, 14, 12 ,..........2} or
B = {2, 12, 4, 14, 6, 16, 8, 18, 10}
that is the order is which the elements in the set are listed is immaterial.
Consider the following example:
The set M of all the letter in the world 'mathematics'
M = {m, a, t, h, e, i c, s}
While writing the set in the Roster form, the elements are not repeated i.e, the
letters that are repeated in the word mathematics (m, a, t) are not written twice in the set.
From the above two examples we can say that when a set is written in the Roster form
(i) The order of listing the elements is immaterial
(ii) The elements in the set are not repeated.
10th Maths New Syllabus Bit Bank - Sets Chapter for AP and Telangana
Consider the following examples of Different items.
1. Bat, ball, gloves, wickets, pads
2. Bag, Text Books, Note Books, Pen, Pencil, Eraser, Sharpener, Lunch Box, Water Bottle
3. a, e, i. o, u
All these examples are the collections of items/ objects. Each Example has
something is common. In First Example we see things of a cricket kit, In Second
Example things that are carried to school. Third example vowels. These are well
defined collection of objects or ideas.
A well - defined collection of objects or ideas is known as a set.
The meaning of the phrase "Well - defined" is
(i) All the objects in the set should have a common feature or property.
(ii) It should be possible to decide whether any given object belongs to the set or
not consider the example.
"The collection of 5 good books in the school library".
As the words "good books" are subjective in nature each student have their own
collection of 5 books. A students who is interested in comics picks, comics books.
A student who is interested in maths may pick 5 Maths related books. Similarly a
Science student picks 5 Science related books.
Therefore there is no uniformity in the collection by different students. Hence
"the collection of 5 good books in the school library" is not a well defined set.
In the above example, it is not possible to decide whether a given book belongs
or does not belong to the collection of objects.
If the same example is considered as "The collection of new text books of X
Class" The Collection is considered as a set.
1. Bat, ball, gloves, wickets, pads
2. Bag, Text Books, Note Books, Pen, Pencil, Eraser, Sharpener, Lunch Box, Water Bottle
3. a, e, i. o, u
All these examples are the collections of items/ objects. Each Example has
something is common. In First Example we see things of a cricket kit, In Second
Example things that are carried to school. Third example vowels. These are well
defined collection of objects or ideas.
A well - defined collection of objects or ideas is known as a set.
The meaning of the phrase "Well - defined" is
(i) All the objects in the set should have a common feature or property.
(ii) It should be possible to decide whether any given object belongs to the set or
not consider the example.
"The collection of 5 good books in the school library".
As the words "good books" are subjective in nature each student have their own
collection of 5 books. A students who is interested in comics picks, comics books.
A student who is interested in maths may pick 5 Maths related books. Similarly a
Science student picks 5 Science related books.
Therefore there is no uniformity in the collection by different students. Hence
"the collection of 5 good books in the school library" is not a well defined set.
In the above example, it is not possible to decide whether a given book belongs
or does not belong to the collection of objects.
If the same example is considered as "The collection of new text books of X
Class" The Collection is considered as a set.
Eenadu Overseas Education Fair in Hyderabad - 2014
Eenadu is conducting Overseas Education Fair 2014 in Hyderabad on 2nd November 2014 at Stanley College of Engineering and Technology for Women, Chapel Road, Abids, Hyderabad. The Eenadu Overseas Education Fair will be held between 10 AM to 6 PM.
Students can get services in the areas of foreign education opportunities, admissions process in foreign universities, GRE / GMAT / IELTS / TOEFL and other examinations guidance etc.
The consultants and experts will give information on higher education opportunities in USA, UK, Australia, European Countries and other avenues. Students can also get counseling from the experts in the field.
Venue: Stanley College of Engineering and Technology for Women, Chapel Road, Abids, Hyderabad.
Date: 02-11-2014. Time: 10 AM to 6 PM.
For more details, contact at 99596 15747.
Students can get services in the areas of foreign education opportunities, admissions process in foreign universities, GRE / GMAT / IELTS / TOEFL and other examinations guidance etc.
The consultants and experts will give information on higher education opportunities in USA, UK, Australia, European Countries and other avenues. Students can also get counseling from the experts in the field.
Venue: Stanley College of Engineering and Technology for Women, Chapel Road, Abids, Hyderabad.
Date: 02-11-2014. Time: 10 AM to 6 PM.
For more details, contact at 99596 15747.
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