Answer
False. Let $x=-1.5$ and $y=2.5$. Then $\lceil(-1.5)\cdot2.5\rceil$$=\lceil-3.75\rceil=-3$, but $\lceil -1.5\rceil\cdot\lfloor2.5\rfloor=(-1)\cdot2=-2$.
Work Step by Step
Beware of errors arising from negatives (e.g., $\lceil -1.5\rceil$$=-1$, not $-2$). Also beware that this exercise involves both floor and ceiling functions.
