Question

|3t+1|>8

Answer 1

\[\left| 3t+1 \right|>8\]Separating the absolute value,\[-8 \ge 3t+1 \ge 8\]Subtracting 1 on all sides,\[-9 \ge 3t \ge 7\]Dividing by 3 on all sides,\[-3 \ge t \ge \frac{ 7 }{ 3 }\]

Answer 2

\(\bf |3t+1|>8\implies
\begin{cases}
+(3t+1)>8\\ \quad \\
\bf -(3t+1)>8
\end{cases}\)