Answer
$(-∞, -1.366)U(0.366, 1)$
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 $f(x)=2x^3 - 3x + 1<0$
In the graph below, the zeros are at x= -1.366, 0.366, 1
From (-∞, -1.366) and (0.366, 1), the graph is below 0.
Thus the solution is $(-∞, -1.366) U (0.366, 1)$