Answer
$a_{slab}~~$ can range between $~~5.0~m/s^2~~$ and $~~10~m/s^2$
Work Step by Step
The smallest value for $a_{slab}$ would occur when the slab and the block accelerate together:
$F = (10~kg+10~kg)~a_{slab}$
$a_{slab} = \frac{F}{10~kg+10~kg}$
$a_{slab} = \frac{100~N}{20~kg}$
$a_{slab} = 5.0~m/s^2$
The largest value for $a_{slab}$ would occur when only the slab accelerates because the block-slab interface is frictionless:
$F = (10~kg)~a_{slab}$
$a_{slab} = \frac{F}{10~kg}$
$a_{slab} = \frac{100~N}{10~kg}$
$a_{slab} = 10~m/s^2$
$a_{slab}~~$ can range between $~~5.0~m/s^2~~$ and $~~10~m/s^2$
