\[\boxed{\mathbf{1047.\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ |x - 6| \geq 2,4\]
\[x - 6 \geq 2,4\ \ \ \ или\ \ \ x - 6 \leq - 2,4\]
\[\ \ \ \ \ \ \ \ x \geq 8,4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x \leq 3,6\]
\[Ответ:x \in ( - \infty;3,6\rbrack \cup \lbrack 8,4;\ + \infty).\]
\[2)\ |5x + 8| \leq 2\]
\[- 2 \leq 5x + 8 \leq 2\]
\[- 10 \leq 5x \leq - 6\]
\[- 2 \leq x \leq - \frac{6}{5}\]
\[- 2 \leq x \leq - 1,2\]
\[Ответ:x \in \lbrack - 2;\ - 1,2\rbrack.\]