Question

solve the inequality and graph the solution. 9w - 10 > 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.

Explanation:

Step1: Solve the inequality

Add 10 to both sides of $9w - 10>8$. We get $9w-10 + 10>8 + 10$, which simplifies to $9w>18$.

Step2: Isolate the variable

Divide both sides of $9w>18$ by 9. So, $\frac{9w}{9}>\frac{18}{9}$, and $w > 2$.

Step3: Graph the solution

On the number - line, we use an open circle at 2 (because the inequality is $w>2$, not $w\geq2$) and draw a ray to the right of 2 to represent all the values of $w$ that satisfy the inequality.

Answer:

The solution of the inequality is $w>2$. On the number - line, we have an open circle at 2 and a ray extending to the right.