SOLUTION: 1/x+3 + 1/x >_ 0 Please Help !!

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Question 1008339: 1/x+3 + 1/x >_ 0
Please Help !!
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The way you used spacing between characters, you might be trying to show 1%2F%28x%2B3%29%2B1%2Fx%3E=0

%281%2F%28x%2B3%29%29%28x%2Fx%29%2B%281%2Fx%29%28%28x%2B3%29%2F%28x%2B3%29%29%3E=0

%28x%2Bx%2B3%29%2F%28x%28x%2B3%29%29%3E=0

highlight_green%28%282x%2B3%29%2F%28x%28x%2B3%29%29%3E=0%29
Critical values are 0, -3, and -3/2.
x%3C%3E0 and x%3C%3E-3.

Check the intervals on x of -infinity%3Cx%3C-3, -3%3Cx%3C=-3%2F2, -3%2F2%3C=x%3C0, and 0%3Cx%3Cinfinity.


CHECK ANY POINT IN EACH INTERVAL.
Pick -5, (-)/((-)(-)), negative, meaning FAIL
Pick -2, (-)/((-)(+)), positive, meaning PASS or TRUE
Pick -1, (+)/((-)(+)), negative, FAIL
Pick 1, (+)/((+)(+)), positive, TRUE/PASS


SOLUTION SET IS -3%3Cx%3C=-3%2F2 AND 0%3Cx%3Cinfinity .