SOLUTION: I cannot find an example even similar to this one. Please help... 1/x+2/x^2 is less than or equal too 1/x-1

Algebra ->  Inequalities -> SOLUTION: I cannot find an example even similar to this one. Please help... 1/x+2/x^2 is less than or equal too 1/x-1      Log On


   

Question 549601: I cannot find an example even similar to this one. Please help...
1/x+2/x^2 is less than or equal too 1/x-1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1/x+2/x^2 is less than or equal too 1/x-1
Assume the problem is:
1%2Fx + 2%2Fx%5E2 <= 1%2F%28%28x-1%29%29
we can put the left side over a single denominator
%28%28x%2B2%29%29%2Fx%5E2 <= 1%2F%28%28x-1%29%29
Cross multiply
(x+2)(x-1) <= x^2
FOIL
x^2 + x - 2 >= x^2
x^2 - x^2 + x - 2 <= 0
x - 2 <= 0
x <= +2, however x cannot = 1, (division by 0)