SOLUTION: Can you help me with the following problem: (x+5)/(x-2)>_ (the previous sign is greater than or equal to) 0 Thanks

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Question 192188: Can you help me with the following problem:
(x+5)/(x-2)>_ (the previous sign is greater than or equal to) 0
Thanks

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(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
.
x(infinity, -5] U (2, infinity) answer.
.
Ed