Question

solve the inequality and graph the solution. 5(s + 4) < 10 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

$5(s + 4)=5s+20$, so the inequality becomes $5s + 20<10$.

Step2: Subtract 20 from both sides

$5s+20 - 20<10 - 20$, which simplifies to $5s<-10$.

Step3: Divide both sides by 5

$\frac{5s}{5}<\frac{-10}{5}$, resulting in $s < - 2$.

Answer:

The solution of the inequality is $s < - 2$. On the number - line, we use an open circle at $s=-2$ and draw a ray to the left.