Propositional Logic 5. (10 points) Use the rales of inference to show that the hypotheses imply the conclusion "lf I graduate in four years, then I will have completed the CS courses", and "If I do not work on CS for 10 hours a mek, then I will not onglete the CS courses", and .If I work on CS for 10 hours a week, then I can not procrastinas." r: Conclusion: "If I procrastinate, then I will not graduate in four years Let w "I work on CS for 10 hours a week" 9--I graduate in four years" c "I will complete the CS courses", and Page I of 2 CS2311 Spring 2019 HW 7 Due: Sun. 03/10/19 p=-1 procrastinate." (a) (4 pts) Translate the hypotheses and conclusion to logical statements (b) (6 pts) Construct a valid argument Gustify each step) Hist: Remember you can also use the logies! equivalences as step in the aryument. 6. (12 points) Use the gtion