#### Answer

$[-2, 0.25]$

#### Work Step by Step

Graph
$y_1 =0.5x^2+0.875x$ (the orange graph) and
$y_2=0.25$ (the purple graph)
on the same coordinate plane.
(refer to the attached image below for the graph)
The solution to the given inequality is the set of x-values for which $y_1 \le y_2$.
Notice that $y_1$ (the orange graph) is less than or equal to $y_2$ from $x=-2$ to $x=0.25$
Thus, the solution to the given inequality is:
$[-2, 0.25]$