Question

solve the inequality and graph the solution.
2(s + 17) < 18
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

$2(s + 17)=2s+34$, so the inequality becomes $2s + 34<18$.

Step2: Subtract 34 from both sides

$2s+34 - 34<18 - 34$, which simplifies to $2s<-16$.

Step3: Divide both sides by 2

$\frac{2s}{2}<\frac{-16}{2}$, so $s < - 8$.

Answer:

The solution of the inequality is $s < - 8$. On the number - line, we use an open circle at $-8$ (because the inequality is strict, $s$ cannot equal $-8$) and draw a ray to the left of $-8$.