Please I need answer to these questions thank you
9:08 LTEO e. It is not true that 7 is an odd number or 8 is an even number 6. Give a truth table for the following propositions. In this class you are required to create and fill in a column for every sub-expression (portion of a For part a, start by creating a four-row truth table, with the propositional variables p and g. Fill out all the possible truth values for these two variables in the canonical order, as shown in the textbook. (See the paragraph that starts "Note that the T and F values for each row are unique, and that they are chosern methodically..." Then create a column for p. Then for part a, create a column for (Pp V). Then, to complete part a, create a column for p ^ (V q). For the other parts, create an eight-row truth table, with the propositional variables p, 4, and s. Fill out all the possible truth values for these three variables in the canonical order as before. Create a column for p A g. Then create a column for (p ^ q)Vs. Follow the same procedure for creating columns for each subexpression of each of the remaining parts of this exercise. We've provided truth table templates for you to work on, on the next page we 've filled in all the headings and some of the cells to start you off we 've filled in the variable headings: you do all the rest in this onej 9091 instructure-uploads.s3.amazonaws.com you fill out everything in this one 7. Define the following propositions: c: 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. 8. 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. 9. 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