Answer
$[-1,312, 0] U [1,512, ∞)$
Work Step by Step
This question asks for a graph to solve the inequality. Thus, I shall be using Desmos to solve these inequalities with the zeros of the function stated in the graph.
Given $x^5 + x^3 \geq x^2 + 6x$
$x^5 + x^3 - x^2 - 6x \geq 0$
In the graph below, the zeros are at x= -1.312, 0, 1.512
From [-1,312, 0] and [1,512, ∞), the graph is above 0.
Thus the solution is $[-1,312, 0] U [1,512, ∞)$