Posted by **Misty** on Tuesday, September 27, 2011 at 9:49am.

4/x^2 - 4x + 3 < 5/x^2 - 9

This is a rational inequality. it is 4 divided by x squared minus 4x plus 3 is less than or equal to 5 divided by x squared minus 9. Please help!!!

- Math, Please Help!!! -
**Misty**, Tuesday, September 27, 2011 at 12:36pm
Please Help ME!!!!!!!!!!!!!!!!!

- Math, Please Help!!! -
**Steve**, Tuesday, September 27, 2011 at 5:44pm
Get things organized a bit:

1/x^2 + 4x - 12 > 0

Now, as long as x is not zero, we can multiply by x^2

1 + 4x^3 - 12x^2 > 0

The roots of this cubic are

-0.276, 0.305, 2.972

y>0 on (-0.276,0) (0,0.305) (2.972,+oo)

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