We want to find the solution of the following inequality
[tex]13\le\frac{x}{(-5)}+9[/tex]To find the solution for this inequality, we can start by multiplying both sides by (-5).
When we multiply an inequality by a negative number, the "side" of the sign changes
[tex]\begin{gathered} 13\le\frac{x}{(-5)}+9 \\ (-5)\cdot(13)\ge(-5)\cdot(\frac{x}{(-5)}+9) \\ -65\ge x-45 \end{gathered}[/tex]And finally, we can add 45 to both sides of the equation to get our solution.
[tex]\begin{gathered} -65\ge x-45 \\ -65+45\ge x-45+45 \\ -20\ge x \\ x\le-20 \end{gathered}[/tex]This is our final answer.
[tex]x\le-20[/tex]