# How do you solve and graph 2-3z≥7(8-2z)+12?

$\implies z \ge 6$
$2 - 3 z \ge 56 - 14 z + 12$
$\implies 14 z - 3 z \ge 56 - 2 + 12$
$\implies 11 z \ge 66$
$\implies z \ge \frac{66}{11}$
$\implies z \ge 6$