Question

помогите пожайлуста с математикой ​

Answer 1

Ответ:

$-5<|4x+1|<3\ \ \ \Leftrightarrow \ \ \ \left\{\begin{array}{l}|4x+1|<3\\|4x+1|>-5\end{array}\right\ \ \left\{\begin{array}{l}-3<4x+1<3\\4x+1\geq 0\end{array}\right\\\\\\\left\{\begin{array}{l}-4<4x<2\\4x\geq -1\end{array}\right\ \ \left\{\begin{array}{l}-1<x<0,5\\x\geq -0,25\end{array}\right\ \ \ \Rightarrow \ \ x\in [-0,25\ ;\ 0,5\ )$