question number6

O Fit to page Rules of Inference 6) (22 points) For each of these collections of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. a. I have nightmares when I eat spicy food. I have nightmares if there is thunder during my sleep. I did not have nightmares last night. b. If I play tennis, then I am sore the next day. I sleep late if I am sore. I did not sleep late. c. All foods that are healthy to eat do not taste good. Tofu is healthy to eat. You only eat what tastes good. You do not eat tofu. A double double cheeseburger is not healthy to eat. 7) (12 points) Consider the following argument and express the argument bellow, using propositional variables f, b and l. Is this argument valid? If so, prove its validity or if not, state why it is not valid