Posted by Amy~ on Tuesday, September 21, 2010 at 4:53pm.
How to solve this:
((x3)(x+2))/((x1)) < 0
I don't understand since theres x1 in the denominator

Math  Reiny, Tuesday, September 21, 2010 at 5:13pm
The critical values are 2, 1 ,and 3 , with of course x ? 1
I then pick an arbitrary value in each of the regions and determine the sign of the answer, the actual answer does not matter.
e.g let x = 5
()()/(1) < 0 , so x <2 works
let x = 0 , a value between 2 and 1
(3)(+).() > 0 , no good
let x = 2 , a value between 1 and 3
()(+)/(+) < 0 , good
let x = 5 , a value > 3
(+)(+)/(+) > 0 , no good
so
x < 2 OR 1 < x < 3 
Math  Amy~, Tuesday, September 21, 2010 at 6:52pm
so for this: ()()/(1) < 0 , so x <2 works
you replace the 0 with 2 ? .
Also for this part let x = 5 , a value > 3
(+)(+)/(+) > 0 , no good
you had to change the sign because it was all positive?