Define the following propositions e: I will return to college, J: I will get a job. Translate the following English sentence into logical expressions using the definitions above: a. If I do not return to college then I will get a job b. I am not getting a job, but I am still not returning to college. Which of the following conditional statements are true and why? a. Pigs can whistle if and only if donkeys can fly. b. If 5 is not a prime number, then pigs can whistle. Give the inverse, converse, and contrapositive for each of the following statements: a. If he trains hard for the race, then he will finish the race. b. If you eat your vegetables then you can have some dessert