Question

3z + 7 ≤ 4z or 3z + 7 < -4z

Answer 1

\[3z+7\leq 4z\]
\[7\leq z\] OR
\[3z+7< -4z\]
\[7z<-7\]
\[z<-1\]

Answer 2

so either
\[z<-1\] Or
\[z\geq 7\]
interval notation
\[(-\infty<-1)\cup[7,\infty)\]