Question

solve the inequality and graph the solution.
8(y - 9) > -8
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.
-10 -8 -6 -4 -2 0 2 4 6 8 10
submit

Explanation:

Step1: Divide both sides by 8

$\frac{8(y - 9)}{8} > \frac{-8}{8}$
Simplifies to: $y - 9 > -1$

Step2: Add 9 to both sides

$y - 9 + 9 > -1 + 9$
Simplifies to: $y > 8$

Step3: Graph the solution

On the number line, place an open circle at 8 (since the inequality is strict, no equality), then draw a ray extending to the right (all values greater than 8).

Answer:

The solution to the inequality is $y > 8$. For the graph: use an open endpoint at 8, and shade/extend the ray to the right of 8 on the provided number line.