Question $2$

Please construct an argument for the following by assigning propositions such as P$1,$ P$2,$ etc. and show the argument is valid using the laws of inference.

part a$.$ If dinner is not ready, we will be late for the theatre. Therefore, either dinner is ready or we will be late for the theatre.

part b$.$ I am not hungry and I am not thirsty. So$,$ I$\text{'}$m neither hungry nor thirsty.

part c$.$ Charles will eat in tonight, or he will have Chinese food and a rich dessert. If he eats in tonight, he will have Chinese food. If he doesn't have a rich dessert, he will have a glass of port. Therefore, he'll have a rich dessert, or he'll have Chinese food and a glass of port.