The Solution:
Given the inequality below:
[tex]-72>-9s[/tex]We are required to graph the solution of the given inequality in a number line.
[tex]\begin{gathered} -72>-9s \\ \text{Multiplying through by -1 will reverse the inequality sign.} \\ -1(-72>-9s) \\ 72<9s \end{gathered}[/tex]Interchanging the LHS and RHS will reverse the inequality sign.
[tex]9s>72[/tex]Dividing both sides by 9, we get
[tex]\begin{gathered} \frac{9s}{9}>\frac{72}{9} \\ \\ s>8 \end{gathered}[/tex]Graphing this solution on a number line, we have:
So, the correct solution is
[tex]s>8[/tex]Thus, the shaded region is the solution of the given inequality.
