(x-2)(x+3)(x+1)<0 (x+5)(4x+1)(x-3)>0 (x+5)(2x-x)>=0 (4x-1)(x^2-4)<0 (3x-2)(x-4)(3-2x)<0 (x+7)(4x+3)(5-2x)>=0

[latex](x-2)(x+3)(x+1) extless 0 \ x_1 extless 2 \ x_2 extless -3 \ x extless -1 \ \ (x+5)(4x+1)(x-3) extgreater 0 \ x_1 extgreater -5 \ x_2 extgreater - frac{1}{4} \ x_3 extgreater 3 \ \ (x+5)(2x-x) geq 0 \ (x+5)x geq 0 \ x+5 geq 0 \ x_1 geq -5 \ x_2 geq 0 \ \ (4x-1)(x^2-4) extless 0 \ (4x-1)(x-2)(x+2) extless 0 \ x_1 extless frac{1}{4} \ x_2 extless 2 \ x_3 extless -2 \ \ (3x-2)(x-4)(3-2x) extless 0 \ x_1 extless frac{2}{3} \ x_2 extless 4 \ x_3 extless 1.5 \ \ (x+7)(4x+3)(5-2x) geq \ x_1 geq -7 \ x_2 geq - frac{3}{4} \ x_3 geq frac{2}{5} [/latex]