Question

solve the inequality and graph the solution.
9(w + 2) + 10 > 1
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: Expand the left - hand side

$9(w + 2)+10=9w+18 + 10=9w + 28$. So the inequality becomes $9w+28>1$.

Step2: Subtract 28 from both sides

$9w+28-28>1 - 28$, which simplifies to $9w>-27$.

Step3: Divide both sides by 9

$\frac{9w}{9}>\frac{-27}{9}$, so $w>-3$.

Answer:

The solution of the inequality is $w > - 3$. On the number - line, we have an open circle at $-3$ and a ray pointing to the right.