Question 82827
x+4/x-4>_2 
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1st: Take care of EQUALITY:
x+4 = 2x-8
x=12
Draw that as a vertical line thru all the points where x=12
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2nd: Take care of the INEQUALITY:
The fraction is zero if x=-4 so mark -4 on the x axis:
The fraction has a vertical asymptote at x=+4 so mark +4 on the x axis
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All that divides the x axis into 4 segments: (-inf,-4), (-4,4), (4,12), (12,+inf)
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Pick a test x value in each interval and check to see if it satisfies
the INEQUALITY.  If it does the whole interval is part of the solution set.
If it does not that whold interval has no solutions.
Cheers,
Stan H.