%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%% %9 %%%%%%%%%%%%%%%%%%%%%%%%% \chapter[Prove that if $x \nmid yz$, then $x \nmid y$ and $x \nmid z$.]{Suppose $x$, $y$, and $z \in \bbz$, and $x \neq 0$. Prove that if $x \nmid yz$, then $x \nmid y$ and $x \nmid z$.} \begin{remark*} Give a proof by contrapositive. \end{remark*} \section{First draft} Due Monday, March 14 at 6:00 PM. \begin{proof} \end{proof}