Answer :

Answers: [tex]x<-8[/tex]

1. Switch sides

[tex]-9x+8>80[/tex]

2. Subtract by 8 from both sides of equation.

[tex]-9x+8-8>80-8[/tex]

3. Simplify.

[tex]-9x>72[/tex]

4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).

[tex](-9x)(-1)<72(-1)[/tex]

5. Simplify.

[tex]9x<-72[/tex]

6. Then you had to divide by 9 from both sides of equation.

[tex]\frac{9x}{9}< \frac{-72}{9}[/tex]

7. Simplify.

[tex]\frac{9x}{9}=x[/tex]

8. Divide by the numbers.

[tex]\frac{9}{9}=1[/tex]

[tex]=x[/tex]

[tex]\frac{-72}{9}=-8[/tex]

9. Divide by the numbers.

[tex]\frac{72}{9}=8[/tex]

[tex]=-8[/tex]

[tex]x<-8[/tex]

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