(a) For values when $x\in [0, 1)$ (b) For values when $x\in (-1, 0]$
Work Step by Step
(a) $\lfloor x \rfloor=0$ is true only when $x\geq 0$ and $x<1$ (b) $\lceil x \rceil=0$ is only true when $x>-1$ and $x\leq0$
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