Answer
$(1/2, ∞)$
Work Step by Step
$2x^3 - x^2 < 9 - 18x$
Find the roots of the function
$2x^3 - x^2 +18x - 9$
$x^2(2x - 1) + 9 (2x -1)$
$(x^2 + 9) (2x-1)$
$x = 1/2$
Test numbers in between those zero values to determine if the function is negative or positive
(-∞, 1/2) $ (+)(-) = (-)$
(1/2, ∞) $(+)(+) = (+)$
Thus the solution is $(1/2, ∞)$
