What rules of inference where used for each of the following arguments? (a) Kangaroos live in Australia and are marsupials. Therefore, kangaroos are marsupials. (b) Linda is an excellent swimmer. If Linda is an excellent swimmer, then she can work as a lifeguard. Therefore, Linda can work as a lifeguard. Please type your answer in the space provided.

Use the Venn diagram to determine the validity of the argument.Some chemistry classes are difficult.Anna’s class is easy.Therefore, Anna’s class is not chemistry.

All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/  B is a salesperson and C is a programmer 4/ B and C are both salesperson

9. Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, “I had either popcom or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn't drink soda or tea." Of course you know that Tommy is the world's worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy's statements using sentence variables (P,Q.R,S,T), taking their negations, and using these to deduce what Tommy actually ate. [8]