Question 192188
(x+5)/(x-2)>=0
x cannot be 2 because there would be division by zero, so 2 is an inflection point.
Let (x+5)/(x-2)=0 
x+5=0 multiply each side by x-2
x=-5 another inflection point is -5.
Now we test points on either side of the inflection points to see if the equation is >=0
Let x=-6: (-6+5)/(-6-2)>=0 true
Let x=-4: (-4+5)/(-4-2)>=0 false
Let x=3: (3+5)/(3-2)>=0 true
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x(infinity, -5] U (2, infinity) answer.
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Ed