Question

solve the inequality and graph the solution.
5 ≤ 3(s + 5) + 14
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 right - hand side

$5\leq3(s + 5)+14$ becomes $5\leq3s+15 + 14$, so $5\leq3s + 29$.

Step2: Subtract 29 from both sides

$5-29\leq3s+29 - 29$, which gives $-24\leq3s$.

Step3: Divide both sides by 3

$\frac{-24}{3}\leq\frac{3s}{3}$, so $- 8\leq s$.

Answer:

The solution of the inequality is $s\geq - 8$. On the number - line, we plot a closed circle at $s=-8$ (since the inequality is $\geq$) and draw a ray to the right.