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Form Five                                                            Form Five



          2. (g) (A∪  B ) (BAΔ  ′  −  )  (A∪B)’ Δ(B-A)        (A∪B)’ Δ(B-A)

                                       -4  0   4  8   12  16  20  24  28

         FOR ONLINE READING ONLY
                                         [(AΔB)’ ∪(A∩B)]’   [(AΔB)’ ∪(A∩B)]’
               ⎡
               (h)  (AB ∪  ) ′  (A ∩  B ) ⎤  ′
                  Δ
               ⎢  ⎣               ⎥  ⎦  -2   0   4    8   12  16  20  24  28
                                             (A’ ΔB)’       (A’ ΔB)’
                 ′
            (j) (ABΔ  ) ′
                                       -4    0   4    8   12  16  20  24  28


                                                           (A-B)’
                                     (A-B)’               (A-B’ )’              (A-B’ )’
          3. (a) (AB   ) ′
                   −
                                                        18
                               -10 -5    0   5   10  15 -10 -5  25 0  5  10  15  20  25
                                                         20
                                                     (A-B)’
              (b) (BA−  ) ′

                                0   2   4   6   8   10  12  14
                                        (A-B’ )’    (A-B’ )’   (A-B’ )’
                        ′
                                    (A-B’ )’
                        )
                   −
              (c) (AB′
                              -6    0    6   12   18  24   30
                                -6       0     6     12     18     24    30
          Fundamental laws of the algebra of sets
          Teaching steps
             1.  Design hands on activities  and  guide  students  through
                 discussion to engage them to recognize the fundamental laws
                 of the algebra of sets. Ask them through discussion to explore
                 more on fundamental laws of algebra of sets from reference
                 books.
             2.  Assist them through discussion to use Table 1.2 of laws of
                 algebra of sets. Engage students through discussion to prove
                 the fundamental laws of algebra of sets.


                                   9
                                             Mathematics for Advanced Secondary Schools



                                                                        30/06/2024   18:01:42
   ADVANCED MATH F.5 TG CHAPTERS.indd   9                               30/06/2024   18:01:42
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