Inequalities are used to represent unequal expressions.
The solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]
Given
[tex]24>-3r \ge -9[/tex]
Divide through by -3
[tex]\frac{24}{-3}>\frac{-3r}{-2} \ge \frac{-9}{-3}[/tex]
Negative division changes the inequality sign
So, we have:
[tex]-8<r \le 3[/tex]
Hence, the solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]
See attachment for the graph of [tex]-8<r \le 3[/tex]
Read more about inequalities at:
https://brainly.com/question/15137133
