Алгебра 8 класс учебник Макарычев, Миндюк ответы – номер 1057

а) $$ \left\{\begin{array}{l} 3(y-1)-4(y+8)<5(y+5) \\ 1,2(1+5 y)-0,2<5(1-3 y)-3 y \end{array}\right. $$ $$ \left\{\begin{array} { l } { 3 y - 3 - 4 y - 3 2 < 5 y + 2 5 } \\ { 1 , 2 + 6 y - 0 , 2 < 5 - 1 5 y - 3 y } \end{array} \left\{\begin{array}{l} -y-5 y<25+35 \\ 6 y+18 y<5-1 \end{array}\right.\right. $$     $$ \left\{\begin{array} { l } { - 6 y < 6 0 } \\ { 2 4 y < 4 } \end{array} \left\{\begin{array} { l } { y > 6 0 : ( - 6 ) } \\ { y < 4 : 2 4 } \end{array} \left\{\begin{array}{l} y>-10 \\ y<\frac{1}{6} \end{array}\right.\right.\right. $$     (−10; 1/6)     (0; 1/6)
б) $$ \left\{\begin{array}{l} 15(y-4)-14(y-3)< y(y-9)-y^2 \\ \left.\frac{5-y}{3}-y>14-\frac{2-y}{6} \right\rvert\, 6 \end{array}\right. $$ $$ \left\{\begin{array}{l} 15 y-60-14 y+42< y^2-9 y-y^2 \\ 10-2 y-6 y>84-2+y \end{array}\right. $$     $$ \left\{\begin{array} { l } { y + 9 y < 1 8 } \\ { - 8 y - y > 8 2 - 1 0 } \end{array} \left\{\begin{array}{l} 10 y<18 \\ -9 y>72 \end{array}\right.\right. $$ $$ \left\{\begin{array} { l } { y < 1 8 : 1 0 } \\ { y < 7 2 : ( - 9 ) } \end{array} \left\{\begin{array}{l} y<1,8 \\ y<-8 \end{array}\right.\right. $$     (−∞; −8)     Нет положительных значений
в) $$ \left\{\begin{array}{l} (2 y-1)(3 y+2)-6 y(y-4)<48 \\ \left.\frac{y-1}{8}-\frac{6 y+1}{4}-1<0 \right\rvert\, 8 \end{array}\right. $$ $$ \left\{\begin{array}{l} 6 y^2+4 y-3 y-2-6 y^2+24 y<48 \\ y-1-12 y-2-8<0 \end{array}\right. $$     $$ \left\{\begin{array} { l } { 2 5 y < 4 8 + 2 } \\ { - 1 1 y < 1 1 } \end{array} \left\{\begin{array} { l } { y < 5 0 : 2 5 } \\ { y > 1 1 : ( - 1 1 ) } \end{array} \left\{\begin{array}{l} y<2 \\ y>-1 \end{array}\right.\right.\right. $$     (0; 2)