解[a(x-1)]/9x-2)>1

问题描述:

解[a(x-1)]/9x-2)>1

[a(x-1)]/(9x-2)>1 [a(x-1)]/(9x-2)-1>0 (ax-a-9x+2)/9x-2>0
(ax-a-9x+2)(9x-2)>0 [(a-9)x+2-a])(9x-2)>0
当a-9>0时[(a-9)x+2-a])(9x-2)>0,由数轴标根法,根为x=2-a/a-9,x=2/9
比较2-a/a-9与2/9大小
2-a/a-9>2/9时36/112/9或x0解锝x