Question

solve the inequality and graph the solution. 6(r + 4) - 10 < 8 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

$6(r + 4)-10=6r+24 - 10=6r + 14$. So the inequality becomes $6r+14<8$.

Step2: Subtract 14 from both sides

$6r+14 - 14<8 - 14$, which simplifies to $6r<-6$.

Step3: Divide both sides by 6

$\frac{6r}{6}<\frac{-6}{6}$, so $r < - 1$.

Answer:

The solution of the inequality is $r < - 1$. On the number - line, we have an open circle at $r=-1$ and the line extends to the left.