3/|x-1|≥2x+51)x<13/(1-x)≥2x+53/(1-x) -(2x+5)≥0(3-2x-5+2x²+5x)/(1-x)≥0(2x²+3x-2)/(x-1)≤02x²+3x-2=0D=9+16=25x1=(-3-5)/4=-2 U x2=(-3+5)/4=0,5x-1=0⇒x=1 _ + _ +----------------[-2]-----------[0,5]-----------(1)-------------------/////////////////////////////////////////////////////////////x∈(-∞;-2] U [0,5;1)2)x>13/(x-1)-(2x+5)≥0(3-2x²-5x+2x+5)/(x-1)≥0(2x²+3x-8)/(x-1)≤02x²+3x-8=0D=9+64=73x1=(-3-√73)/4 U x2=(-3+√73)/4x-1=0⇒x=1 _ + _ +-------------[(-3-√73)/4]-------------(1)-------------[(-3+√73)/4]----------------- /////////////////////////////////////////////////////x∈(1;(-3+√73)/4]Ответ x∈(-∞;-2] U [0,5;1) U (1;(-3+√73)/4]