#### Answer

$[-2, 5]$

#### Work Step by Step

Graph $y_1 =x^2$ (the orange graph) and $y_2=3x+10$ (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 $x=5$
Thus, the solution to the given inequality is:
$[-2, 5]$