ОДЗ{(x+3)/(x-1)>0⇒x<-3 U x>1{x>0{x≠1x∈(1;∞)⇒(x+3)/(x-1)>x(x+3)/(x-1) -x>0(x+3-x²+x)/(x-1)>0(-x²+2x+3)/(x-1)>0(x²-2x-3)/(x-1)<0x²-2x-3=0x1+x2=2 U x1*x2=-3x1=-1 U x2=3x-1=0⇒x=1 \\\\\\\\\\\\\\\\\\\\\ ////////////////////////// _ + _ +-----------------(-1)-------------(1)---------------(3)----------------- \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\x∈(3;∞)