SOLUTION: 8/(x-3)>6/(x-1)

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Question 495011: 8/(x-3)>6/(x-1)
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8 > 6
--- ---
x -3 x-1

8(x-1) > 6x(x -3)
---------------------
(x -3) (x -1)

8x -8 > 6x -18
-----------------
(x - 3) (x - 1)

collect like terms.

8x -6x > -18 + 8
-------------------
(x - 3) (x - 1)

2x > - 10
---------
(x -3) (x - 1)

x > -5
----------------
(x - 3) (x - 1)
The factor of this change sign are ( -5 , 3 and 1)

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