(Solved): 6. Write the truth table for the following compound statements (the labeled columns need to be used ...

6. Write the truth table for the following compound statements (the labeled columns need to be used, but not every column must be used) a. \( p \vee \sim q \) ( 3 points) b. \( p \rightarrow(q \rightarrow r) \) ( 5 points \( ) \) 7. Write the converse, inverse, and contrapositive of the statement: "If campus is open, then it is not the weekend." ( 3 points each) a. Converse: b. Inverse: c. Contrapositive: 8. Are the following sentences a statement? If it is a statement, state whether it's true or false and explain why. If it's not a statement, explain why. (3 points each) a. If penguins fly, then the moon is made of cheese. b. If today is Wednesday, then what are you watching? 9. Decide whether each argument is valid or invalid by stating the standard form. (4 points each) a. If I eat spinach, then 1 am healthy. I am healthy. \( \therefore \) I eat spinach.