Answer
a) There exists a student who spends more than five hours every weekday in class.
b) Every student spends more than five hours every weekday in class.
c) There exists a student who does not spend more than five hours every weekday in class.
d) Not one student spends more than five hours every weekday in class.
Work Step by Step
We replace $\forall$ with a formulation involving "all" or "every" and $\exists$ with a formulation involving "there exists." Then, we substitute in for $P(x)$ and $x$. d) features the negation of $\forall$
a) There exists a student who spends more than five hours every weekday in class.
b) Every student spends more than five hours every weekday in class.
c) There exists a student who does not spend more than five hours every weekday in class.
d) Not one student spends more than five hours every weekday in class.
