Page 25 - ADVANCED MATH F.5
P. 25

Form Five                                                            Form Five


          Answers to Exercise 2.1

          1.  a, b, c, e.                   (b)    p      q      r      s
                                                   T      T      T     T
          2.  (a)  Simple statement                T      T      T     F
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             (b)  Compound statement               T      T      F     T
             (c)  Simple statement                 T      T      F     F
             (e)  Compound statement               T      F      T     T
                                                                 T
                                                          F
                                                   T
                                                                       F
                                                   T      F      F     T
          3.  (a)    p        q        r           T      F      F     F
                     T        T        T
                     T        T        F           F      T      T     T
                     T        F        T           F      T      T     F
                     T        F        F           F      T      F     T
                     F        T        T           F      T      F     F
                     F        T        F           F      F      T     T
                     F        F        T           F      F      T     F
                     F        F        F           F      F      F     T
                                                   F      F      F     F
          4.  (a) Pili is a woman.
             (b) It is not raining now.
             (c) Tanzanian’s do not maintain their good culture.
             (d) Summer does not come after spring.
             (e) Industries are not friendly to the environment.
             (f)  Tomorrow is not Saturday.

          Logical connectives

          Teaching steps
              1.  Develop hands on activities that can be used to assist students
                  to identify logical  connectives,  including  conjunction,
                  disjunction,  conditional  (implication),  and  biconditional
                  (double implications) using the truth Tables 2.3, 2.4, and 2.5.

              2.  Assist students through discussion if necessary to relate the
                  truth values as T = 1 and F = 0. Also, assist them to relate
                  logical connectives as:


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                                             Mathematics for Advanced Secondary Schools



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