Question

1)4x/27-x-3/9+x+1/3< 0 2)x-x/4> 2 и 3x-2> 4x-5.6

Answer 1

1) $\frac{4x}{27}-x-\frac{3}{9}+x+\frac{1}{3}\ \textless \ 0$
   $\frac{4x}{27}-\frac{1}{3}+\frac{1}{3}\ \textless \ 0$
   $\frac{4x}{27}\ \textless \ 0$
   $27*\frac{4x}{27}\ \textless \ 27*0$
   $4x\ \textless \ 0$
   $x\ \textless \ 0$
2) $\left \{ {{x-\frac{x}{4}\ \textgreater \ 2} \atop {3x-2\ \textgreater \ 4x-5.6}} \right.$
    $\left \{ {{4x-4*\frac{x}{4}\ \textgreater \ 4*2} \atop {3x-4x\ \textgreater \ -5.6+2}} \right.$
    $\left \{ {{4x-x\ \textgreater \ 8} \atop {-x\ \textgreater \ -3.6}} \right.$
    $\left \{ {{3x\ \textgreater \ 8} \atop {x\ \textless \ 3.6}} \right.$
    $\left \{ {{x\ \textgreater \ \frac{8}{3} } \atop {x\ \textless \ 3.6}} \right.$
    x∈$(2\frac{2}{3},$ $3,6)$