Answer
$(-∞, -2] U [-0.5, 2]$
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 $f(x) = 2x^3 + x^2 - 8x - 4 \leq 0$
In the graph below, the zeros are at x= -2, -0.5, 2
From (-∞, -2] and [-0.5, 2], the graph is below 0.
Thus the solution is $(-∞, -2] U [-0.5, 2]$