sis地址发布:solve the following inequalities

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1/(1-x)<1/(x-5)

1/(x-5)-1/(1-x)>0
1/(x-5)+1/(x-1)>0
(x-1+x-5)/(x-5)(x-1)>0
(x-3)/(x-1)(x-5)>0
所以1<x<3 or x>5

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