SOLUTION: could you please help me solve this equation in interval notation x-1 > (or equal) 6/x

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Question 1093482: could you please help me solve this equation in interval notation
x-1 > (or equal) 6/x
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x-1%3E=6%2Fx

x-1-6%2Fx%3E=0

x%28x%2Fx%29-1%28x%2Fx%29-6%2Fx%3E=0%2A%28x%2Fx%29

%28x%5E2-x-6%29%2Fx%3E=0

%28%28x%2B2%29%28x-3%29%29%2Fx%3E=6
The critical x values to check are -2, 0, 3.
The INTERVALS to check are for system%28-infinity%3Cx%3C=-2%2C-2%3C=x%3C0%2C0%3C=x%3C=3%2C3%3Cx%3Cinfinity%29.

That was "help" but not the finished solution. You check each interval to see which satisfy the original inequality and which do not.