y=(2x+3)/(x-1)=[2(x-1)+2+3]/(x-1)=2+5/(x-1)x<1,∴5/(x-1)<0,∴y<2或∵x<1,x-1≠0,变换得y(x-1)=2x+3,即x=(3+y)/(y-2)<1即(3+y)/(y-2)-1=5/(y-2)<0,∴y<2