Consider the following argument: Kasie knows how to write programs in JAVA or Python. If Kasie does not know how to write programs in C, then she does not know how to write programs in JAVA. If Kasie knows how to write programs in C, then she can get a high-paying job. Kasie does not know how to write programs in Python. Therefore, Kasie can get a high-paying job." (a) (5 points) Using the following propositional variables, translate the sentences in the argument into logical expressions. c="Kasie knows how to write programs in C." h="Kasie can get a high-paying job." j=Kasie knows how to write programs in JAVA." p=Kasie knows how to write programs in Python." (b) (6 points) Show that the argument is valid using the rules of inference. Specify the rule of inference used in each step of the proof