[tex]| \frac{2x-1}{x-1} |\ \textgreater \ 2[/tex]

(2x-1)/(x-1)<-21)(2x-1+2x-2)/(x-1)<0(4x-3)/(x-1)<0x=3/4  x=13/4<x<12)(2x-1)/(x-1)>2(2x-1-2x+2)/(x-1)>01/(x-1)>0x-1>0x>1Ответ x∈(3/4;1) U (1;∞)