How do you solve -8<=(3x+17)/2<3 and write the answer in interval notation?

$- 11 \le x < - \frac{11}{3}$
$- 8 \le \frac{3 x + 17}{2} < 3$
$- 16 \le 3 x + 17 < 6$
$- 33 \le 3 x < - 11$
$- 11 \le x < - \frac{11}{3}$