[a(x-1)]/x > 1

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[a(x-1)]/x > 1
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[a(x-1)]/x > 1
[a(x-1)]/x > 1

[a(x-1)]/x > 1
[a(x-1)]/x > 1
(ax-a-x)/x>0
【(a-1)x-a】/x = (a-1)[x - a /(a-1)] x>0
①若 a > 1,a /(a-1)>0
x > a /(a-1)或 x

若X>0,a>1则X>a/(a-1),若X>0,a<1则X1则Xa/(a-1)