Question

solve the inequality and graph the solution.
3s - 10 > -4
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: Add 10 to both sides

$3s-10 + 10>-4 + 10$
$3s>6$

Step2: Divide both sides by 3

$\frac{3s}{3}>\frac{6}{3}$
$s > 2$

To graph the solution:

1. On the number - line, plot an open circle at $s = 2$ (since the inequality is $s>2$ and 2 is not included in the solution set).
2. Draw a ray to the right of 2 to represent all the values of $s$ that are greater than 2.

Answer:

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