4x+5\\\frac{x+10}{5}\geq 0\qquad \end{array}\right\; \; \left\{\begin{array}{c}5x-5+2\geq 3-4-x\\x-30-2x+10>4x+5\\x+10\geq 0\end{array}\right\\\\\\\left\{\begin{array}{c}6x\geq 2\\-5x>25\\x\geq -10\end{array}\right\; \; \left\{\begin{array}{c}x\geq \frac{1}{3}\\x<-5\\x\geq -10\end{array}\right\; \; \; \Rightarrow \; \; \; x\in \varnothing " alt="\left\{\begin{array}{c}5(x-1)+2\geq 3-(4+x)\\x-30-2(x-5)>4x+5\\\frac{x+10}{5}\geq 0\qquad \end{array}\right\; \; \left\{\begin{array}{c}5x-5+2\geq 3-4-x\\x-30-2x+10>4x+5\\x+10\geq 0\end{array}\right\\\\\\\left\{\begin{array}{c}6x\geq 2\\-5x>25\\x\geq -10\end{array}\right\; \; \left\{\begin{array}{c}x\geq \frac{1}{3}\\x<-5\\x\geq -10\end{array}\right\; \; \; \Rightarrow \; \; \; x\in \varnothing " align="absmiddle" class="latex-formula">