Chapter 1.5, Problem 3E

LetQ(x,y) be the statement "xhas sent an e-mail message toy," where the domain for bothxandyconsists of all students in your class. Express each of these quantifications in English.

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

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

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

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

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

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