Chapter 1.5, Problem 4E

LetP(x,y) be the statement "Studentxhas taken classy," where the domain for bothxconsists of all students in your class and foryconsists of all computer science courses at your school. Express each of these quantifications in English.

a) $\exists x\exists yP\left(x,y\right)$

b) $\exists x\forall yP\left(x,y\right)$

c) $\forall x\exists yP\left(x,y\right)$

d) $\exists y\forall xP\left(x,y\right)$

e) $\forall y\exists xP\left(x,y\right)$

f) $\forall x\forall yP\left(x,y\right)$