Question

solve the inequality and graph the solution.
17(w + 5) - 17 > 17
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

$17(w + 5)-17=17w+85 - 17=17w + 68$. So the inequality becomes $17w+68>17$.

Step2: Subtract 68 from both sides

$17w+68 - 68>17 - 68$, which simplifies to $17w>-51$.

Step3: Divide both sides by 17

$\frac{17w}{17}>\frac{-51}{17}$, so $w>-3$.

Answer:

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