Решите систему линейных неравенств с одной переменнойс фоткойдаю 35 баллов

Question 1

Решите систему линейных неравенств с одной переменной
с фоткой
даю 35 баллов

Question 2

Решите задачу:

$1)\; \; \left \{ {{ 5(2x-\frac{1}{5} )\ \textless \ 3(x+\frac{1}{3})} \atop {\frac{3x+7}{2}\ \textgreater \ \frac{6x+1}{5}}} \right. \; \; \left \{ {{10x-1\ \textless \ 3x+1} \atop {15x+35\ \textgreater \ 12x+2}} \right. \; \; \left \{ {{7x\ \textless \ 2} \atop {3x\ \textgreater \ -33}} \right. \; \; \left \{ {{x\ \textless \ \frac{2}{7}} \atop {x\ \textgreater \ -11}} \right. \\\\x\in (-11,\frac{2}{7})$

$2)\; \; \left \{ {{x-4\ \textgreater \ 0} \atop {|x|\ \textgreater \ 2}} \right. \; \; \left \{ {{x\ \textgreater \ 4} \atop { \left [ {{x\ \textgreater \ 2} \atop {x\ \textless \ -2}} \right. }} \right. \; \; \left \{ {{x\in (4,+\infty )} \atop {x\in (-\infty ,-2)\cup (2,+\infty )}} \right. \\\\x\in (4,+\infty )$

$3)\; \; \left \{ {{-2(x+5)\ \textgreater \ 7x-1} \atop {|x| \geq 1}} \right. \; \; \left \{ {{-2x-10\ \textgreater \ 7x-1} \atop { \left [ {{x \geq 1} \atop {x \leq -1}} \right. }} \right. \; \; \left \{ {{-9\ \textgreater \ 9x} \atop {x\in (-\infty ,-1\, ]\cup [\, 1,+\infty )}} \right. \\\\ \left \{ {{x\ \textless \ -1} \atop {x\in (-\infty ,-1\, ]\cup [\, 1,+\infty )}} \right. \; \; \left \{ {{x\in (-\infty ,-1)} \atop {x\in (-\infty ,-1\, ]\cup [\, 1,+\infty )}} \right. \\\\x\in (-\infty ,-1)$