Question

сумма целых решений неравенств $\left \{ {{1\ \textless \ 3- \frac{x}{5} \ \textless \ 3} \atop {(3 \sqrt{3}-6)(x-4) \geq 3 \sqrt{3}-6 }} \right.$

Answer 1

$\displaystyle \left \{ {{1\ \textless \ 3- \frac{x}{5}\ \textless \ 3 |-3} \atop {(3 \sqrt{3} -6)(x-4) \geq 3\sqrt{3} -6\,\, |:(3\sqrt{3} -6)}} \right. \Rightarrow\\ \\ \\ \Rightarrow \left \{ {{-2\ \textless \ - \frac{x}{5}\ \textless \ 0 |\cdot(-5)} \atop {x-4 \leq 1}} \right. \Rightarrow \left \{ {{0\ \textless \ x\ \textless \ 10} \atop {x \leq 5}} \right. \Rightarrow x \in (0;5]$

Сумма целых решений: 1+2+3+4+5=15