Answer
(-∞, -0.408) U (0.715, ∞)
Work Step by Step
This question asks to solve the inequality graphically
Given $ e^x> 4x^2$
Graph $f(x) = e^x$ and $g(x) = 4x^2$
Then find intervals of x such that f(x) < g(x)
According to the graph below, $e^x$ (in red) is less than $4x^2$ (in black) outside the interval (-0.408, 0.715)
Thus (-∞, -0.408) U (0.715, ∞) is the answer
