Question

solve the inequality and graph the solution. 3z - 8 > 10 to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it. -10 -8 -6 -4 -2 0 2 4 6 8 10 submit

Explanation:

Step1: Add 8 to both sides

$3z - 8 + 8 > 10 + 8$
$3z > 18$

Step2: Divide by 3 on both sides

$\frac{3z}{3} > \frac{18}{3}$
$z > 6$

Step3: Describe the graph

On the number line, plot an open endpoint at 6, then draw an arrow pointing to the right (toward values greater than 6) to represent all solutions.

Answer:

The solution to the inequality is $z > 6$. For the graph: place an open circle at 6 on the number line, and draw a ray extending to the right from this open circle.