(1)(X-1)(1-2x)>0 -(x-1)(2x-1)>0 (x-1)(2x-1)<0 1/2(2)6x²+5x<4 6x²+5x-4<0 (2x-1)(3x+4)<0 -4/3(3)-3x²+x+1>0 -3(x-1/6)²+1/36+1>0 3(x-1/6)²<37/36 |x-1/6|<√(37/(3*36))=√111/18-√111/18(4)x²-2x+1≤0 (x-1)²<=0 x=1(5)4x-x²<5 x²-4x+5>0 Δ=4²-4*1*5=-4<0 y=x²-4x+5与x轴无交点, 图象开口向上,x为一切实数。