ГДЗ по алгебре 9 класс Макарычев Задание 334

\[\boxed{\text{334\ (}\text{н}\text{).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[\textbf{а)}\ \frac{x - 5}{x + 6} < 0\]

\[(x + 6)(x - 5) < 0\]

\[x \in ( - 6;5).\]

\[\textbf{б)}\ \frac{1,4 - x}{x + 3,8} < 0\]

\[(1,4 - x)(x + 3,8) < 0\]

\[(x + 3,8)(x - 1,4) > 0\]

\[x \in ( - \infty;\ - 3,8) \cup (1,4;\ + \infty).\]

\[\textbf{в)}\ \frac{2x}{x - 1,6} > 0\]

\[2x(x - 1,6) > 0\]

\[x \in ( - \infty;0) \cup (1,6;\ + \infty).\]

\[\textbf{г)}\ \frac{5x - 1,5}{x - 4} > 0\]

\[5 \cdot (x - 0,3)(x - 4) > 0\]

\[x \in ( - \infty;0,3) \cup (4;\ + \infty).\]

\[\textbf{д)}\ \frac{5x + 1}{x - 2} > 0\]

\[(5x + 1)(x - 2) > 0\]

\[5 \cdot (x + 0,2)(x - 2) > 0\]

\[x \in ( - \infty; - 0,2) \cup (2; + \infty).\]

\[\textbf{е)}\ \frac{3x}{2x + 9} < 0\]

\[3x(2x + 9) < 0\]

\[3x \cdot 2 \cdot (x + 4,5) < 0\]

\[6x(x + 4,5) < 0\]

\[x \in ( - 4,5;0).\]

\[\boxed{\text{334\ (}\text{с}\text{).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[\textbf{а)}\ \frac{x - 5}{x + 6} < 0\]

\[(x - 5)(x + 6) < 0\]

\[(x + 6)(x - 5) < 0\]

\[x \in ( - 6;5).\]

\[\textbf{б)}\ \frac{1,4 - x}{x + 3,8} < 0\]

\[(1,4 - x)(x + 3,8) < 0\]

\[(x + 3,8)(x - 1,4) > 0\]

\[x \in ( - \infty;\ - 3,8) \cup (1,4;\ + \infty).\]

\[\textbf{в)}\ \frac{2x}{x - 1,6} > 0\]

\[2x(x - 1,6) > 0\]

\[x \in ( - \infty;0) \cup (1,6;\ + \infty).\]

\[\textbf{г)}\ \frac{5x - 1,5}{x - 4} > 0\]

\[(5x - 1,5)(x - 4) > 0\]

\[5 \cdot (x - 0,3)(x - 4) > 0\]

\[x \in ( - \infty;0,3) \cup (4;\ + \infty).\]