Question

solve the inequality and graph the solution. 2(s + 10) + 1 ≤ 9 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 left - hand side

$2(s + 10)+1=2s+20 + 1=2s+21$
So the inequality becomes $2s+21\leq9$.

Step2: Subtract 21 from both sides

$2s+21-21\leq9 - 21$
$2s\leq-12$

Step3: Divide both sides by 2

$\frac{2s}{2}\leq\frac{-12}{2}$
$s\leq - 6$

Answer:

The solution of the inequality is $s\leq - 6$. On the number - line, we plot a closed circle at $s=-6$ (since the inequality is $\leq$) and draw a ray to the left of $s = - 6$.