Question

Hello, can anyone please help me with my practice? Be very much appreciated

Answer 1

The solution to the inequality is;

`x<-81`

Step-by-step explanation:

Given the inequality;

`-(1)/(9)x>9`

Firstly, let's multiply both sides of the equation by 9;

`\begin{gathered} -(1)/(9)x*9>9*9 \\ -(9)/(9)x>81 \\ -x>81 \end{gathered}`

Then we can multiply both sides by -1.

Note that when we multiply both sides by a negative number(-1) the sign will change;

`>\rightarrow<`

So;

`\begin{gathered} -x*-1>81*-1 \\ x<-81 \end{gathered}`

The solution to the inequality is;

`x<-81`