Question

solve for z.
16 - 18z ≥ -20 - 12z
write your answer with z first, followed by an inequality symbol.

Explanation:

Step1: Add 18z to both sides

$16 - 18z+18z\geq - 20-12z + 18z$
$16\geq - 20 + 6z$

Step2: Add 20 to both sides

$16 + 20\geq-20 + 20+6z$
$36\geq6z$

Step3: Divide both sides by 6

$\frac{36}{6}\geq\frac{6z}{6}$
$6\geq z$

Step4: Rewrite with z first

$z\leq6$

Answer:

$z\leq6$