Answer
$(-∞, -1.236) U (0,2) U (3.236, ∞)$
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 $f(x)=x^4 - 4x^3 + 8x > 0$
In the graph below, the zeros are at x= -1,236, 0, 2, 3,236
From (-∞, -1.236), (0,2), and (3.236, ∞), the graph is above 0.
Thus the solution is $(-∞, -1.236) U (0,2) U (3.236, ∞)$
