\[3 \leq \frac{5x + 2}{4} \leq 4\]
\[12 \leq 5x + 2 \leq 16\]
\[10 \leq 5x \leq 14\]
\[2 \leq x \leq 2,8\]
\[Ответ:\ \lbrack 2;2,8\rbrack.\]