ГДЗ по алгебре 8 класс Макарычев ФГОС Задание 1056

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\[\textbf{а)} - 1 < 2x - 4 < 5\]

\[3 < 2x < 9\ \ \ |\ :2\]

\[1,5 < x < 4,5\]

\[x \in (1,5;4,5).\]

\[\textbf{б)}\ 0 \leq \frac{x - 5}{2} \leq 5\ \ \ \ \ \ | \cdot 2\]

\[0 \leq x - 5 \leq 10\]

\[5 \leq x \leq 15\]

\[x \in \lbrack 5;15\rbrack.\]

\[\textbf{в)} - 1 < - \frac{1}{3}x + 8 < 1\]

\[- 9 < - \frac{1}{3}x < - 7\ \ \ \ \ |\ :\frac{1}{3}\]

\[- 27 < - x < - 21\]

\[21 < x < 27\]

\[x \in (21;27).\]

\[\textbf{г)} - 6 \leq - 2,5x + 6 \leq - 2\]

\[- 12 \leq - 2,5x \leq - 8\ \ \ \ \ |\ :2,5\]

\[- 4,8 \leq - x \leq - 3,2\]

\[3,2 \leq x \leq 4,8\]

\[x \in \lbrack 3,2;4,8\rbrack.\]