Question

solve the inequality and graph the solution.
-1 > \frac{r - 75}{78}
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: Multiply both sides by 78

$-1\times78>\frac{r - 75}{78}\times78$
$-78>r - 75$

Step2: Add 75 to both sides

$-78 + 75>r-75 + 75$
$-3>r$ or $r < - 3$

To graph:
The endpoint is $r=-3$. Since the inequality is $r < - 3$, the endpoint is open. We draw a ray to the left of $-3$ on the number - line.

Answer:

The solution of the inequality is $r < - 3$. On the number - line, there is an open circle at $-3$ and a ray extending to the left.