Answer
$[-2, 1] U[3, ∞)$
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 $f(x) = x^3 - 2x^2 - 5x + 6 \geq 0$
In the graph below, the zeros are at x= -2, 1, 3
From [-2, 1] and [3, ∞), the graph is above 0.
Thus the solution is $[-2, 1] U[3, ∞)$