[tex]a.\\8m+5\geq5\
\ \ |-5\\8m\geq0\ \ \ |:8\\m\geq0\to m\in\left<0;\
\infty\right)\\\\-4m+6\leq-10\ \ \ |-6\\-4m\leq-16\ \ \ |:(-4)\\m\geq4\to
m\in\left<4;\ \infty\right)\\\\solution:\ m\in\left<0;\ \infty\right)\
\cap\ \left<4;\ \infty\right)\to m\in\left<4;\ \infty\right)[/tex]
[tex]b.\\6m\leq-36\ \ \ |:6\\m\leq-6\to m\in\left(-\infty;\
-6\right>\\\\m+24 > 20\ \ \ |-24\\m > -4\to m\in(-4;\
\infty)\\\\solution:\ m\in\left(-\infty;\ -6\right>\ \cap\ (-4;\ \infty)\to
m\in\O\to NO\ SOLUTION[/tex]
[tex]c.\\-2m < 6\ \ \ |:(-2)\\m > -3\to m\in(-3;\ \infty)\\\\3m > 24\
\ \ |:3\\m > 8\to m\in(8;\ \infty)\\\\solution:\ m\in(-3;\ \infty)\ \cap\
(8;\ \infty)\to m\in(8;\ \infty)[/tex]
[tex]d.\\m+9 < 8\ \ \ |-9\\m < -1\to m\in(-\infty;\ -1)\\\\-2m \geq10\ \
\ |:(-2)\\m\leq-5\to m\in\left(-\infty;-5\right>\\\\solution:\
m\in(-\infty;\ -1)\ \cap\ \left(-\infty;-5\right>\to
m\in\left(-\infty;-5\right>[/tex]
