Решебник по алгебре 8 класс Мерзляк ФГОС Задание 1028

\[\boxed{\mathbf{1028.\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\left\{ \begin{matrix} x - 4 < 0 \\ 2x \geq - 6\ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]

\[\left\{ \begin{matrix} x < 4\ \ \ \\ x \geq - 3 \\ \end{matrix} \right.\ \]

\[Ответ:\lbrack - 3;4).\]

\[2)\ \left\{ \begin{matrix} x - 2 > 3\ \ \ \ \\ - 3x < - 12 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x > 5 \\ x > 4 \\ \end{matrix} \right.\ \]

\[Ответ:(5;\ + \infty).\]

\[3)\ \left\{ \begin{matrix} 6x + 3 \geq 0 \\ 7 - 4x < 7 \\ \end{matrix}\text{\ \ } \right.\ \text{\ \ \ \ \ }\]

\[\left\{ \begin{matrix} 6x \geq - 3 \\ - 4x < 0 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]

\[\ \left\{ \begin{matrix} x \geq - \frac{1}{2} \\ x > 0\ \ \ \ \\ \end{matrix} \right.\ \]

\[Ответ:(0;\ + \infty).\]

\[4)\ \left\{ \begin{matrix} x - 2 < 1 + 3x \\ 5x - 7 \leq x + 9 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\ \left\{ \begin{matrix} - 2x < 3 \\ 4x \leq 16 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x > - 1,5 \\ x \leq 4\ \ \ \ \ \ \\ \end{matrix} \right.\ \]

\[Ответ:( - 1,5;4\rbrack.\]

\[5)\ \left\{ \begin{matrix} 3x - 6 \leq x - 1\ \ \ \ \ \\ 11x + 13 < x + 3 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]

\[\left\{ \begin{matrix} 2x \leq 5\ \ \ \ \ \ \ \ \ \\ 10x < - 10 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x \leq 2,5 \\ x < - 1 \\ \end{matrix} \right.\ \]

\[Ответ:( - \infty;\ - 1).\]

\[6)\ \left\{ \begin{matrix} 4x + 19 \leq 5x - 1 \\ 10x < 3x + 21\ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ }\]

\[\ \left\{ \begin{matrix} - x \leq - 20 \\ 7x < 21\ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x \geq 20 \\ x < 3\ \ \\ \end{matrix} \right.\ \]

\[Ответ:\ \varnothing.\]