Question

solve the inequality and graph the solution.
-1 > \frac{z}{2}+3
plot the endpoints. select an endpoint. select the middle of the segment, ray, or line to delete it.
-10 -8 -6 -4 -2 0

Explanation:

Step1: Subtract 3 from both sides

$-1 - 3>\frac{z}{2}+3 - 3$
$-4>\frac{z}{2}$

Step2: Multiply both sides by 2

$2\times(-4)>2\times\frac{z}{2}$
$-8 > z$ or $z < - 8$

Answer:

The solution of the inequality is $z < - 8$. On the number - line, we use an open - circle at $z=-8$ (since the inequality is strict, $z$ cannot equal - 8) and draw a ray to the left of $z = - 8$.