# How do you solve and graph z+4>=2z?

Jul 24, 2018

$z \le 4$

#### Explanation:

$z + 4 \ge 2 z$

Subtract $\textcolor{b l u e}{z}$:
$z + 4 \quad \textcolor{b l u e}{- \quad z} \ge 2 z \quad \textcolor{b l u e}{- \quad z}$

$4 \ge z$

$z \le 4$

Here's a graph of it on a number line:

The closed circle on $4$ means that $4$ is one of the solutions (and anything less than it).
Hope this helps!