Posted by Misty on .
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,
Please Help ME!!!!!!!!!!!!!!!!!

Math, Please Help!!! 
Steve,
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)