SOLUTION: Solve the inequality x+14/x-8>=1

Question 636901: Solve the inequality x+14/x-8>=1
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
x+14/x-8>=1
Let x be greater then 0 then:
x^2+14-8x>=x
x^2-9x+14>=0
(x-2)(x-7)>=0 So
x-2>=0 So x>=2
x-7>=0 So x>=7 We must select x>=7 or x=2. There is a similar set of inequalities when we let x be less than 0
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