How do you solve -33>=-3z?

Dec 18, 2016

$z \ge 11$

Explanation:

Since this was asked under "Inequalities with Multiplication and Division",
we will note that dividing both sides of an inequality by a negative value reverses the orientation of the inequality.

So, given $- 33 \textcolor{red}{\ge} - 3 z$
if we divide both sides by $\left(- 3\right)$, the inequality becomes:
$\textcolor{w h i t e}{\text{XXX}} 11 \textcolor{g r e e n}{\le} z$ or, if you prefer $z \ge 11$