Answer
(0.159, 3.146) (in interval notation)
Work Step by Step
This question asks to solve the inequality graphically
Given $ \ln x > x-2$
Graph $f(x) = \ln x$ and $g(x) = x-2$
Then find intervals of x such that f(x) > g(x)
According to the graph below, $\ln x$ (in red) is greater than $x-2$ (in black) from the interval (0.159, 3.146)
Thus (0.159, 3.146) is the answer
