4) Let p and q be the propositions "You are a freshman," and "You are enrolled in three courses for this semester, "respectively. Express the following compound proposition as an English sentence [0.75pt]: qp you are not enrolled in three courtes for this ceneate if and only if a) You are not enrolled in three courses for this semester if and only if you are not a freshman x b) You are not enrolled in three courses for this semester if and only if you are not a freshman x c) You are enrolled in three courses for this semester if and only if you are a freshman d) You are not enrolled in three courses for this semester if and only if you are a freshman 5) Let p, q, and r be the following propositions: p : "The dog is large", q. "the dog is friendly", r "the dog is small", and t :" the dog is aggressive". Write the following statement using formula including p, q, r, and t and logical connectives. [0.5pt] logient consectives at in the vpentues "The dog is not small, but it is not aggressive." a) TVt b) (rt)= if I put the canfuen Pt c) Tt Foriogical d) (r) 6) Let p,q, and r be the following propositions: p : "The dog is large". q : "the dog is friendly" , r "the dog is small", and t: " the dog is aggressive". Write the following statement using formula including p, q, r,and t and logical connectives. [0.5pt] "The dog is aggressive whenever it is large. " a) pt tp is actually the b) tp c) pt d) tp 7) Let p,q, and r be the following propositions: p : "The dog is large", q: "the dog is friendly ", r " "the dog is small", and t:" the dog is aggressive". Write the following statement using formula including p, q, r and t and logical connectives. [0.5pt] "The dog is large and friendly, or small and aggressive." a) (pq)(rt) i can ki both so, itll be normel (pq)(rt) b) (pq)(rt) c) (pq)(rt) d) (pq)(rt) 8) What is the contrapositive of the conditional statement "I will not wear a jacket unless it is raining" [0.5pt] If I will warer a jacket then it is not rainives. a) If I will wear a jacket, then it is not raining b) If I will not wear a jacket, then it is not raining