Originally Posted by

**s_ingram** I wouldn't multiply both sides by x. Instead, I would do this:

At this point I would make a sign chart. First, I need "critical points." These are values which (1) the fraction equals 0, and (2) the fraction is undefined. I find (1) by setting the numerator equal to zero:

I find (2) by setting the denominator equal to zero: x = 0.

Then I draw my sign chart like this:

Code:

und 0
----------+---------------+-------------
0 2

(und = undefined)

Now take the fraction

and test a value less than 0. You will see that the fraction is negative, so I make a notation on my sign chart.

Code:

(-)^2
-----
(-) und 0
----------+---------------+-------------
neg 0 2

Pick a number between 0 and 2 and test the fraction, and then pick a number greater than 2 and test the fraction. When you're done, you should get this:

Code:

(-)^2 (-)^2 (+)^2
----- ----- -----
(-) und (+) 0 (+)
----------+---------------+-------------
neg 0 pos 2 pos

We want a range of numbers where the fraction is less than 0, or negative. So the solutions are x < 0.

01