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SETS IN





                 MATHEMATICS
















  WHAT IS A SET?


                                                                                                    Sets are

                                                                                               represented by
  Groups formed by bringing together various objects

  are called sets.                                                                              capital letters

                                                                                              such as A,B,C.
  Objects are elements of the set to which they belong.














                                                                                       EXAMPLE
         E: is the element.

       Ɇ: is not an element.                    A



                                                     .1     .2            2 ∈ A: 2 is an element of A.


                                                                       5 ∉ A: 5 is not an element A .
                                                    .3       .4





                                                         5


   NUMBER OF ELEMENTS


   AND THE EMPTY SET                                                                    Set A= All days in a

                                                                                                    week
  The number of elements of a set is represented                                          Set B= Flying cat

   by the symbol s ( ).


                                                                                                  S(A)= 7
  Sets without elements are called empty sets. It is

  denoted by the symbols Ø and { }.                                                              S(B)= Ø




                                                                                                            SET


                                                                REPRESENTATIONS



                                                                                                     In Venn

                                                              .2   .3
                   Venn  diagram                              .5   .7                              diagrams,

                                                                                                  elements of

                                                                                                  the sets are
                    List method                        A={2,3,5,7}
                                                                                               given with dots

                                                                                                    in front of

                     Common feature                    A={prime number}                         them, e.g. , .1

                            method                                                                       .5

 OPERATIONS IN SETS




              INTERSECTION                                                          UNION

  The set of common items is called                             The set of all elements is called a

    the intersection set.It is indicated                          union set. It is indicated by the

               by the symbol "∩".                                                symbol "∪".


    A={2,3,5,7}                                                  A={1,3,5,7}


      B={3,5,9}                                                  B={2,4,6,8}

     A∩B={3,5}                                          A∪B={1,2,3,4,5,6,7,8}


                                               Meltem SARI
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