Chapter 1.5, Problem 6E

LetC(x,y) mean that studentxis enrolled in classy, where the domain forxconsists of all students in your school and the domain foryconsists of all classes being given at your school. Express each of these statements by a simple English sentence.

a) $C\left(\text{Randy}\text{Goldberg,CS}\text{252}\right)$

b) $\exists xC\left(x,\text{Math}\text{695}\right)$

c) $\exists yC\left(\text{Carol}\text{sitea},y\right)$

d) $\exists x\left(C\left(x,\text{Math}222\right)\wedge C\left(x,\text{CS}252\right)\right)$

e) $\exists x\exists y\forall z\left(\left(x\ne y\right)\wedge \left(C\left(x,z\right)\to C\left(y,z\right)\right)\right)$

f) $\exists x\exists y\forall z\left(\left(x\ne y\right)\wedge \left(C\left(x,z\right)\leftrightarrow C\left(y,z\right)\right)\right)$