Question 495011:  8/(x-3)>6/(x-1) 
 Answer by IFY(62)      (Show Source): 
You can  put this solution on YOUR website!     8   >  6 
   ---    --- 
   x -3   x-1
 
 
   8(x-1) > 6x(x -3) 
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  (x -3)   (x -1)
 
 
  8x -8 > 6x -18 
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  (x - 3) (x - 1)
 
 
  collect like terms.
 
 
  8x -6x > -18 + 8 
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   (x - 3) (x - 1)
 
 
  2x > - 10 
  --------- 
  (x -3)  (x - 1)
 
 
  x > -5 
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 (x - 3) (x - 1)
 
  The factor of this change sign are ( -5 , 3 and 1) 
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