Question

solve the inequality and graph the solution. -96(r + 3) < 96 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: Divide both sides by -96

When dividing an inequality by a negative number, the inequality sign flips. So $\frac{-96(r + 3)}{-96}>\frac{96}{-96}$, which simplifies to $r + 3>- 1$.

Step2: Subtract 3 from both sides

$r+3 - 3>-1 - 3$, resulting in $r>-4$.

Answer:

The solution of the inequality is $r > - 4$. On the number - line, an open circle is placed at $-4$ and the line extends to the right of $-4$.