Consider the following propositions: (1) if the weather was nice and i was not tired then i went for a walk (2) if the weather was not nice and i had enough money then i went to the cinema (3) i did not go to the cinema (4) i did not go for a walk. (5) i had enough money a) let "the weather was nice", n= t = "i was tired". "i went for a walk". "i went to the cinema" c = "i had enough money". m= write the propositions (1)(5) in symbolic form using logical tives connec b) use the rules of inference to deduce whether you were tired. show your working.