(x-1)/(x-2)>0,

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(x-1)/(x-2)>0,
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(x-1)/(x-2)>0,
(x-1)/(x-2)>0,

(x-1)/(x-2)>0,
两边乘(x-2)²
显然(x-2)²>0
所以(x-1)(x-2)>0
x<1,x>2

x<1或x>2,满意吗?