# Math Help - Quadratic Inequalities

Find the range of x if 8x<3x^2.

2. ## Maybe this will help

$8x <3x^2$
$8x-3x^2<0$

$x(8-3x)<0$

For the inequality to be negative either x<0 and 8-3x>0 or x>0 and 8-3x<0

Check when the factors changes signs. x is easy, its when it is smaller then zero.
Like this
Factor/ -8/3 0 8/3
x: - 0 +
8-3x:
this one you have to fill in yourself
Then it is easy to see when both factors have opposite signs..