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SET THEORY
SET is a collection or groups of objects with certain
characteristics.
The object are known as elements.
A set can be represented by :
 –Description
   Eg : P is a set of colour of the rainbow
 – Set notation
    Eg : P = {
   red, orange, yellow, green, blue, indigo, purple}
- Venn Diagram
Symbols :
    to show an element of a
 certain set

n (A)   denote the number of
 elements in set A

{ } or     an empty set
n(A)=7
Two set, X and Y are equal if all the elements of set X are
  elements of set Y and vice versa

Example :
   X = { Letters in the word LOVE }
   Y = { Letters in the word EVOLVE }
then, X = { L,O,V,E }
        Y = { E,V,O,L }
X and Y have the same elements, so X=Y
Set A is a subset of B if all the elements of set
A are found in set B




 Universal set is a set with all the elements under
discussion
 The complement of set P is a set that has all the
elements in the universal set but not in P and
written as P’
B           4
                                      6
                  A
                              7
                      1
              2
                                  3       8

                      5



                                              9
         10



 = {1,2,3,4,5,6,7,8,9,10} B’= {9,10}
A= {1,3,5,7}              A’={2,4,6,8,9,10}
B= {1,2,3,4,5,6,7,8}
OPERATION ON SET
Intersection on set


Union on set

Eg :   A = { a, e }
       B = { a, c, d, e }
         = { a, b, c, d, e, f }

               A    B = { a, e }
               A    B = { a, c, d, e }
A       B
b


        a       c
        e       d



                    f
Example:

A= {1,2,3,4,5,6,7,8,9}
B= {1,3,5,7,9}
C= {2,3,5,7}

A   B= {1,3,5,7,9}
B   C= {3,5,7}
A   C= {2,3,5,7}
A   B C= {3,5,7}
A
            4           6


        8       5




B                                   C
    1       9
                                2
                        7
                            3
                    5
Prepared by :

NOR RAIHAN MOHAMAD ASIMONI 0918044

NURUL ATIKAH MOHAMED       0918576

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Edu presentation 1

  • 2. SET is a collection or groups of objects with certain characteristics. The object are known as elements. A set can be represented by : –Description Eg : P is a set of colour of the rainbow – Set notation Eg : P = { red, orange, yellow, green, blue, indigo, purple}
  • 4. Symbols : to show an element of a certain set n (A) denote the number of elements in set A { } or an empty set
  • 6. Two set, X and Y are equal if all the elements of set X are elements of set Y and vice versa Example : X = { Letters in the word LOVE } Y = { Letters in the word EVOLVE } then, X = { L,O,V,E } Y = { E,V,O,L } X and Y have the same elements, so X=Y
  • 7. Set A is a subset of B if all the elements of set A are found in set B Universal set is a set with all the elements under discussion The complement of set P is a set that has all the elements in the universal set but not in P and written as P’
  • 8. B 4 6 A 7 1 2 3 8 5 9 10 = {1,2,3,4,5,6,7,8,9,10} B’= {9,10} A= {1,3,5,7} A’={2,4,6,8,9,10} B= {1,2,3,4,5,6,7,8}
  • 9. OPERATION ON SET Intersection on set Union on set Eg : A = { a, e } B = { a, c, d, e } = { a, b, c, d, e, f } A B = { a, e } A B = { a, c, d, e }
  • 10. A B b a c e d f
  • 11. Example: A= {1,2,3,4,5,6,7,8,9} B= {1,3,5,7,9} C= {2,3,5,7} A B= {1,3,5,7,9} B C= {3,5,7} A C= {2,3,5,7} A B C= {3,5,7}
  • 12. A 4 6 8 5 B C 1 9 2 7 3 5
  • 13. Prepared by : NOR RAIHAN MOHAMAD ASIMONI 0918044 NURUL ATIKAH MOHAMED 0918576