SOLUTION: Please help me solve this (x-2)(x+2)divide by x(x-1) is greater or equals to zero

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Question 983902: Please help me solve this (x-2)(x+2)divide by x(x-1) is greater or equals to zero
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x-2%29%28x%2B2%29%29%2F%28+x%28x-1%29%29%3E=0

Check at and between the four critical values for x. Interest is about the signs, so pick any value in each interval which the critical values form.

The critical values are the roots and any for which the inequality is undefined.
-2, 0, 1, 2. Where is the left member non-negative? 


-infinity%3Cx%3C=-2   -2%3C=x%3C0           0%3Cx%3C1            1%3Cx%3C=2          2%3C=x%3Cinfinity
(-)(-)/((-)(-))   (-)(+)/((-)(-))   (-)(+)/((+)(-))  (-)(+)/((+)(+)) (+)(+)/((+)(+))
positive           negative         positive          negative        positive
TRUE              FALSE             TRUE              FALSE           TRUE


Look carefully at the nature of each interval listed. Inclusive for roots, EXCLUSIVE for undefined critical x values.
The solution is the set of intervals listed as "positive" and "TRUE".