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Theory of Sets
Which of the following collections are well defined?
(1) The collection of male students in your class.
(2) The collection of numbers 2, 4, 6, 10 and 12.
(3) The collection of districts in Tamil Nadu.
(4) The collection of all good movies.
Sets are named with the capital letters A, B, C,
etc.
The elements of a set are
denoted by the small letters a, b, c, etc.
For example,
Consider the set A = {1, 3, 5, 9}
1 is an element of A, written as 1 A
3 is an element of A, written as 3  A
8 is not an element of A, written as 8 A
A
CB
Venn Diagrams
We use diagrams or pictures in geometry to explain
a concept or a situation and sometimes we also
use them to solve problems. In mathematics, we
use diagrammatic representations called Venn
Diagrams to visualise the relationships between
sets and set operations.
Example:
Example:
Alternate method:
Developed by
Pratima Nayak,PGT( Mathematics),
Kendriya Vidyalaya,Fort William,Kolkata
I acknowledge text books of different States of India
and NCERT.

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Set theory: by Pratima Nayak

  • 2.
  • 3.
  • 4. Which of the following collections are well defined? (1) The collection of male students in your class. (2) The collection of numbers 2, 4, 6, 10 and 12. (3) The collection of districts in Tamil Nadu. (4) The collection of all good movies.
  • 5. Sets are named with the capital letters A, B, C, etc. The elements of a set are denoted by the small letters a, b, c, etc.
  • 6. For example, Consider the set A = {1, 3, 5, 9} 1 is an element of A, written as 1 A 3 is an element of A, written as 3  A 8 is not an element of A, written as 8 A
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
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  • 25. Venn Diagrams We use diagrams or pictures in geometry to explain a concept or a situation and sometimes we also use them to solve problems. In mathematics, we use diagrammatic representations called Venn Diagrams to visualise the relationships between sets and set operations.
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  • 48. Developed by Pratima Nayak,PGT( Mathematics), Kendriya Vidyalaya,Fort William,Kolkata I acknowledge text books of different States of India and NCERT.