Consider the statements $S,R,U,$ and $V$ below, about Laney's dogs, Grizz and Carol.

$S=$ Grizz is awake

$R=$ Grizz is hungry

$U=$ Carol plays fetch

$V=$ Carol jumps on Keith

Translate each of the following English sentences into logical statements, using only the symbols not,${?}^{{?}^{?}},vv,$ and$/$or $=>.$

A Carol jumps on Keith whenever she is playing fetch.

$U=>V$

B Grizz is not awake or hungry but Carol is playing fetch.

not$(SvvR{)}^{{?}^{?}}$

C If Grizz is awake, then he's always hungry, but whenever he's asleep, Carol jumps on Keith if she's not busy playing fetch.

$)=>(R$