\frac{z}{3}} \atop {{\frac{2z+1 }{3} -\frac{z+12} {8} > \frac{3z-5}{4}}} \right. <=>\left \{ {{{\frac{15(z+31) }{120} + \frac{24(z+12)}{120} > \frac{40z}{120}} \atop {{\frac{8(2z+1)}{24} -\frac{3(z+12)}{24} > \frac{6(3z-5)}{24}}} \right.<=>\\\
\left \{ 15(z+31)+24(z+12)}> 40z} \atop {8(2z+1)-3(z+12)>6(3z-5) \right. <=> \left \{ 15z+465+24z+288}> 40z} \atop {16z+8-3z-36>18z-30 \right. <=> \\\
" alt="\left \{ {{{\frac{z+31 }{8} + \frac{z+12} {5} > \frac{z}{3}} \atop {{\frac{2z+1 }{3} -\frac{z+12} {8} > \frac{3z-5}{4}}} \right. <=>\left \{ {{{\frac{15(z+31) }{120} + \frac{24(z+12)}{120} > \frac{40z}{120}} \atop {{\frac{8(2z+1)}{24} -\frac{3(z+12)}{24} > \frac{6(3z-5)}{24}}} \right.<=>\\\
\left \{ 15(z+31)+24(z+12)}> 40z} \atop {8(2z+1)-3(z+12)>6(3z-5) \right. <=> \left \{ 15z+465+24z+288}> 40z} \atop {16z+8-3z-36>18z-30 \right. <=> \\\
" align="absmiddle" class="latex-formula">
40z} \atop {13z-28>18z-30 \right. <=> \left \{ 39z-40z}> -753} \atop {13z-18z>-30+28 \right. <=> \\\
\left \{ -z}> -753} \atop {-5z>-2 \right. <=>\left \{ z}<753} \atop {z<0,4 \right. \\\
(- \infty;\ 0,4) " alt="\left \{ 39z+753}> 40z} \atop {13z-28>18z-30 \right. <=> \left \{ 39z-40z}> -753} \atop {13z-18z>-30+28 \right. <=> \\\
\left \{ -z}> -753} \atop {-5z>-2 \right. <=>\left \{ z}<753} \atop {z<0,4 \right. \\\
(- \infty;\ 0,4) " align="absmiddle" class="latex-formula">