Answer:
The solution to the inequality is;
[tex]x<-81[/tex]
Explanation:
Given the inequality;
[tex]-\frac{1}{9}x>9[/tex]
Firstly, let's multiply both sides of the equation by 9;
[tex]\begin{gathered} -\frac{1}{9}x\times9>9\times9 \\ -\frac{9}{9}x>81 \\ -x>81 \end{gathered}[/tex]
Then we can multiply both sides by -1.
Note that when we multiply both sides by a negative number(-1) the sign will change;
[tex]>\rightarrow<[/tex]
So;
[tex]\begin{gathered} -x\times-1>81\times-1 \\ x<-81 \end{gathered}[/tex]
The solution to the inequality is;
[tex]x<-81[/tex]
