Answer
$x^2+y^2\geq8$
Work Step by Step
Since the boundary of the curve is solid, the inequality would be either $x^2+y^2\leq8$ or $x^2+y^2\geq8$
Use a test point $(3,0)$ in the shaded region (solution region) to evaluate the the value of the equation, we found $x^2+y^2=3^2+0=9\gt8$ .
Thus we conclude the inequality as $x^2+y^2\geq8$
