Question

solve the inequality and graph the solution.
6(r + 3) + 10 < 4
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

$6(r + 3)+10=6r+18 + 10=6r + 28$. So the inequality becomes $6r+28<4$.

Step2: Subtract 28 from both sides

$6r+28 - 28<4 - 28$, which simplifies to $6r<-24$.

Step3: Divide both sides by 6

$\frac{6r}{6}<\frac{-24}{6}$, so $r < - 4$.

Answer:

The solution of the inequality is $r < - 4$. On the number - line, we have an open circle at $r=-4$ and the ray extends to the left.