Page 12 - ADVANCED MATH F.5
P. 12

Form Five                                                                                                                                          Form Five


            11.  M ∩  N =  { }
            12. Disjoint sets

            13.  M′ = {5,6,7,8,9,10,11,12 }
         FOR ONLINE READING ONLY
                N′ = {2,4,5,6,8,10,12 }
            14.  A = {Orange,cabbage,pineapple }
                                                 }
            15. A∪ =    { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
                    B
                                                         {3, 4, 7, 8, 9,10, 11, 12, 139,10, 11, 12, 13
            16. (a) A∩ B′ = { } 4      (c) B′     A′∩  (c) B′ (c) B′ {3, 4, 7, 8,=  A′∩  = A′∩  =  {3, 4, 7, 8, 9,10, 11, 12, 13}}  }
                            3,
                                                 }
                                                                  7,8
                                                             B
               (b) B A′ =  {5, 6, 7, 8, 9, 10,11,12,13   (d) A′∩ = { }
                    ∪

            17.  (a)  F (b)  T (c)   F    (d)  F
                                       }
            18.  A′ = {magenta,red,blue
                                  }
                                                                 }
                       B
            19. (a)  A∩ =  { ,,ad e           (d) A∩  B′ = { ,,bc f
                  (b)  A∪ = { , , , ,,ab c d e f }    (e)  A′  B′∩  =  {g, h, i, j }
                       B
                (c) A′∩ =   { }               (f)  A′  B′∪  =  {b, c, f, g, h, i, j }
                        B
            20.  (a)  A ∪=  {22,24,26,28,30 }         (b) Y∪ W = {2 x<<  23 }
                        F
                        F
                   A ∩=    {24,26 }                   Y∩  W =  {7 x≤≤  18 }
                                                                  }
                            13
            21.  (a)  A B− = { }              (b) B A−  = { 16,17,18
            22.  (a)  M K−  = {32,42 }        (b)  K M−  = {33,35,37 }
                   (c) (M K−  ) (K M∪  −  ) {32,33,35,37,42=  }

                                                                  }
                                   }
            23.  (a) P R−  = {8,10,12         (b) R P− = { 14,16,18
                 (c)  Q P− = { 14,16,18,20,22 }

                                                   ′
            24.   (a) B A−  = {3,5,9 }       (b) (A B−  ) { 1, 3, 5, 9, 11, 17, 19=  }
                                    }
            25.  X Y−  = {2,4,6,8,10
            26.   x = 9, y = 12 or x = 12, y =  9.



                                                  6
         Mathematics for Advanced Secondary Schools



                                                                        30/06/2024   18:01:41
   ADVANCED MATH F.5 TG CHAPTERS.indd   6                               30/06/2024   18:01:41
   ADVANCED MATH F.5 TG CHAPTERS.indd   6
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