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Form Five                                                                                                                                          Form Five


          12. (a)  Swimming in the pool is dangerous.
             (b)  Few people have not been  drawn in the swimming pool if and
                 only if Swimming in the pool is not dangerous.

             (c)  If swimming in the pool is dangerous, then few people have
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                 been drawn in the Swimming pool.


          13. (a)  p     q      pq∧         ( pq∧  )  ( pq∧  )∧  ( pq∧   )

                   T     T        T           F              F
                   T     F        F           T              F
                   F     T        F           T              F
                   F     F        F           T              F


             (b)    p     q    q →  p    p →       (q →   ) p ↔  (p →  ) q
                                             q
                    T     T      T         T                T
                    T     F      T         F                F
                    F     T      F         T                F
                    F     F      T         T                T



             (c)    p       q       r         pq∨           (pq∨  ) r∧

                    T       T       T          T                T
                    T       T       F          T                F
                    T       F       T          T                T
                    T       F       F          T                F
                    F       T       T          T                T
                    F       T       F          T                F
                    F       F       T           F               F
                    F       F       F           F               F




                                                 22
         Mathematics for Advanced Secondary Schools



                                                                        30/06/2024   18:01:48
   ADVANCED MATH F.5 TG CHAPTERS.indd   22
   ADVANCED MATH F.5 TG CHAPTERS.indd   22                              30/06/2024   18:01:48
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