Задача 63175 Математика ...

61fd8c18beb6a438048bd4d8

12.02.2022 15:34:41

Математика

604dc3c4ee495c5c9acb8c84

12.02.2022 18:20:29

★

[m]\left\{\begin{matrix} 3(x+\frac{2}{3})-4(\frac{3}{4}-x)<\frac{1}{6}\\ \frac{3x+7}{5}>\frac{1}{3} \end{matrix}\right.[/m]
[m]\left\{\begin{matrix} 3x+2-3+4x<\frac{1}{6}\\ 9x+21>5 \end{matrix}\right.[/m]
[m]\left\{\begin{matrix} 7x-1<\frac{1}{6}\\ 9x>-16 \end{matrix}\right.[/m]
[m]\left\{\begin{matrix} 42x-6<1\\ 9x>-16 \end{matrix}\right.[/m]
[m]\left\{\begin{matrix} 42x<7\\ 9x>-16 \end{matrix}\right.[/m]
[m]\left\{\begin{matrix} x<\frac{1}{6}\\ x>-1\frac{7}{9} \end{matrix}\right.[/m]
Ответ: [m](-1\frac{7}{9}; \frac{1}{6})[/m]