/!\ Solve question number 3 only /!\ DO NOT USE CHATGPT OR POST ANY AI-GENERATED ANSWERS DO NOT USE CHATGPT OR POST ANY AI-GENERATED ANSWERS /!\ Solve question number 3 only /!\

(1) I placed my key in the bedroom but not under the sofa. I sat in the dinning room implies that my key is not in the bed room or in my pocket. my key is on my office or it is under the sofa when I did not sit in the dinning room. My key is not in my pocket. Therefore, if I wash my face, then my key is on my office (a) Covert the above argument into symbolic. ( use B: key is in the bedroom, S: key is under the sofa, D : I sat in the dinning room, P : Key is in the pocket, O : key is on my office, F: I wash my face. ) (b) Show that the argument is valid (2) Show the argument below is valid qp(ts)uphu(tr)qrps (3) Show the argument below is invalid pq(qr)s (1) I placed my key in the bedroom but not under the sofa. I sat in the dinning room implies that my key is not in the bed room or in my pocket. my key is on my office or it is under the sofa when I did not sit in the dinning room. My key is not in my pocket. Therefore, if I wash my face, then my key is on my office (a) Covert the above argument into symbolic. ( use B: key is in the bedroom, S: key is under the sofa, D : I sat in the dinning room, P : Key is in the pocket, O : key is on my office, F: I wash my face. ) (b) Show that the argument is valid (2) Show the argument below is valid qp(ts)uphu(tr)qrps (3) Show the argument below is invalid pq(qr)s