Question

solve the inequality and graph the solution.
1 ≤ (s + 5)/2
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 2

$1\times2\leq\frac{s + 5}{2}\times2$ which simplifies to $2\leq s+5$.

Step2: Subtract 5 from both sides

$2 - 5\leq s+5 - 5$, so $- 3\leq s$.

Answer:

The solution of the inequality is $s\geq - 3$. On the number - line, we plot a closed circle at $-3$ (since the inequality is $\geq$) and draw a ray to the right.