Question

solve the inequality and graph the solution.
3(s + 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.
submit

Explanation:

Step1: Expand the left side

$$3(s + 2)-10=3s+6 - 10=3s - 4$$
The inequality becomes $3s-4\geq - 1$.

Step2: Add 4 to both sides

$$3s-4 + 4\geq-1 + 4$$
$$3s\geq3$$

Step3: Divide both sides by 3

$$\frac{3s}{3}\geq\frac{3}{3}$$
$$s\geq1$$

Answer:

The solution of the inequality is $s\geq1$. On the number - line, we plot a closed circle at $s = 1$ (because the inequality is $\geq$, including the endpoint) and draw a ray to the right of $1$.