GEED 004 Mathematics in the Modern World Problem Set no. 2 Instructions: Do as indicated. Show vour complete solutions as neatly as possible. 1. Determine whether the following arpuments are valid or invalid. Use the common forms of valid or invalid arguments. (a) I 1 focus on my studies, then I'll pass this subject. I didl not pass this subject. Therefore, I did not focns on my studies. (b) If a driver makes an illegal U-turn, then he will get a ticket. If the driver gets a ticket, then he will get points on his driving record. Therefore, if a driver makes an illegal U-turn., then he will get points on his driving record. f) My client demands to stay at the penthouse or at an exclusive suite. He couldn't stay on the penthouse. Therefore, he stayed in an exclusive suite. (d) If today is Monday, then | will have a Math class. I am having a Math class. Therefore, today is Monday. 2. Consider the following sets: U := the set of letters in the English Alphabet A-= the set of letters in the word \"Mathematics\" B:= the set of letters in the word \"Accountancy (= the set of letters in the word \"Statistics\" Determine the following