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j = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
             (a)  P = {1, 4, 9}
                 Thus, P9 = {2, 3, 5, 6, 7, 8, 10}

             (b)  Q = {1, 2, 5, 10}
                 Thus, Q9 = {3, 4, 6, 7, 8, 9}


                 Self Practice      11.2a


             1.  Identify whether each of the following is the universal set of {1, 3, 5, 7, 9, 11, 13, 15}:
                 (a)  {whole numbers}
                 (b)  {prime numbers}
                 (c)  {x : x is a positive integer and x < 15}
             2.  Given that j = {whole numbers which are less than 10}, determine the complement
                 of each of the following sets:
                 (a)  P = {multiples of 3}
                 (b)  Q = {prime numbers}

                                                                                LEARNING
                                                                                      STANDARDS
                  How  do  you  represent  the  universal  set  and         Represent
                 complement of a set by using Venn diagram?                 (i)  the relation of a set
                                                                               and universal set, and
             Besides  description and set notation, a set can also be       (ii)  complement of a set
             represented  by  an  enclosed  geometrical  diagram  which  is   through Venn diagrams.
             known as Venn diagram.

             For example,
             j  = {Amir, Hazura, Laila, Sandra, Zamri, Dali, Pei San, Yana}
             A  = {Amir, Hazura, Laila, Sandra, Zamri}                      •  A set can be represented
                                                                              by a circle, an oval, a
             A9 = {Dali, Pei San, Yana}                                       rectangle or a triangle.    CHAPTER
                                                                            •  The universal set is
             The relationship between the sets above can be represented       commonly represented
             by the following Venn diagram.                                   by a rectangle.            11

              Universal set, ξ is represented   ξ     A
              by a rectangle.                            Amir                Set A is represented by
                                               Dali                          a circle.
                                                         Hazura
              Each dot represents an element.            Laila
                                                         Sandra              All the elements of set A
                                                         Zamri               are written in the circle.
              Elements of complement of                           Pei San
              set A lie outside the circle.       Yana





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