Solve the inequality \frac{3-z}{z+1} \ge 2(z + 4). Write your answer in interval notation.
\(\frac{3-z}{z+1} \ge 2(z + 4)\) simplified: \(\frac{(2z+1)(z+5)}{z+1} \ge 0\)
interval notation: \((-\infty, -5] \cup (-1,- \frac{1}{2}]\)