Exercise 7-5 Symbolize the following sentences, using the indicated symbols as abbreviations. Some require universal and some existential quantifiers. 1. Some athletes are overpaid. (Ax = “x is an athlete,” Ox = “x is overpaid”) 3. It’s not true that there are overpaid athletes. 5. But somewhere there is at least one elected official who is not overpaid. 7. And some PTA members are parents and teachers. 9. So the PTA has members who aren’t parents and members who aren’t teachers. 11. Some of them serve Dijon mustard along with the fries. (Dx = “x serves Dijon mustard with the fries”) 13. And, of course, French restaurants that serve Dijon don’t serve French's. 15. So, there are some French restaurants where you can get french fries and Dijon mustard, but not French’s; some that serve French’s mustard with their fries, but no Dijon; and some that don’t serve french fries at all.
Exercise 7-5 Symbolize the following sentences, using the indicated symbols as abbreviations. Some require universal and some existential quantifiers.
1. Some athletes are overpaid. (Ax = “x is an athlete,” Ox = “x is overpaid”)
3. It’s not true that there are overpaid athletes.
5. But somewhere there is at least one elected official who is not overpaid.
7. And some PTA members are parents and teachers.
9. So the PTA has members who aren’t parents and members who aren’t teachers.
11. Some of them serve Dijon mustard along with the fries. (Dx = “x serves Dijon mustard with the fries”)
13. And, of course, French restaurants that serve Dijon don’t serve French's.
15. So, there are some French restaurants where you can get french fries and Dijon mustard, but not French’s; some that serve French’s mustard with their fries, but no Dijon; and some that don’t serve french fries at all.
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