5. (10 points) Use the rules of inference to show that the hypotheses imply the conclusion . "If 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 week, then I will not complete the CS courses", and "If I work on CS for 10 hours a week, then I can not procrastinate." Conclusion: If I procrastinate, then I will not graduate in four years." Let w"I work on CS for 10 hours a week", g-"I graduate in four years", c-"I will complete the CS courses", and Page 1 of 2 CS2311 - Spring 2019 HW 7 Due: Sun. 03/10/19 p- "I procrastinate." (a) (4 pts) Translate the hypotheses and conclusion to logical statements. (b) (6 pts) Construct a valid argument (justify each step). Hint: Remember you can also use the logical equivalences as a step in the argument