Answer
$1.499$ mm $\lt d \lt 1.501$ mm
Work Step by Step
$10^{-3}=\displaystyle \frac{1}{10^{3}}=\frac{1}{1000}=0.001$
So, an acceptable diameter $d$ is one between
$(1.500-0.001)$ mm = $1.499$ mm
and
$(1.500+0.001)$ mm = $1.501$ mm
$1.499$ mm $\lt d \lt 1.501$ mm