Question

| 5-3Х| <8 помогите пожалуйста

Answer 1

$|5-3x|<8 Leftrightarrow left {begin{matrix} 5 - 3x < 8 \ 5 - 3x > - 8 end{matrix} right. Leftrightarrow left {begin{matrix} - 3x < 3\ - 3x > - 13 end{matrix} right. Leftrightarrow left {begin{matrix} x > - 1 \ x < frac{13}{3} end{matrix} right. Leftrightarrow x in ( - 1; frac{13}{3}) \ \ OTBET:x in ( - 1; frac{13}{3})$