questions with star

3. Symbolize the following sentences in PL, using quantifiers wherever appropri- ate, using the following symbolization key: UD: The set of seniors at Dartmouth College Gy: y will graduate Jy: y will get a job Ay: y join the Army Ly y will become a longshoreman Mxy: x wl make more money than y b: Bob c: Carol d David e: Emily a. All of those who graduate will get jobs. *b. If David will graduate, all seniors will graduate c. If at least one senior graduates, they will all graduate *d. Everyone who doesn't graduate will join the Army e. If anyone joins the Army both Carol and David will *f. Everyone will graduate or no one will graduate g. Each senior will either graduate or not graduate. *h. If anyone who graduates becomes a longshoreman Emily will become a long shoreman i. Everyone who becomes a longshoreman will make more money than will eve- ryone who does not. *j. Each senior will join the Army if and only if he or she does not graduate