Решебник по алгебре 8 класс Мерзляк ФГОС Задание 1159

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\[1)\left\{ \begin{matrix} x - 3 < 2x - 3 \\ 4x + 5 > 10 - x \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} - x < 0 \\ 5x > 5 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\]

\[\left\{ \begin{matrix} x > 0 \\ x > 1 \\ \end{matrix} \right.\ \text{\ \ }\]

\[x > 1\]

\[Ответ:(1;\ + \infty).\]

\[2)\ \left\{ \begin{matrix} (x - 5)^{2} - 15 \geq (x - 3)(x - 4) - 50 \\ 4(x + 7) - 16 \geq 2 - x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} x^{2} - 10x + 25 - 15 \geq x^{2} - 3x - 4x + 12 - 50 \\ 4x + 28 - 16 \geq 2 - x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} - 3x \geq - 48 \\ 5x \geq - 10\ \ \ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} x \leq 16\ \\ x \geq - 2 \\ \end{matrix} \right.\ \]

\[Ответ:\lbrack - 2;16\rbrack.\]