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∈$(2frac{2}{3},$ $3,6)$