Define the following propositions: b The weather is bad. c The trip is cancelled. d The trip is delayed. (We used the propositional variables b, c, and d above to make them mnemonic.) Translate the following English sentence into logical expressions using the definitions above: a. The weather is good. bmiddot The weather is bad, but the trip is not canceled. c. The weather is bad and the trip is canceled or delayed. d. The trip was neither cancelled nor delayed. e. The weather was good and the trip was not delayed.