Solve for x to make the inequality true

Answer: [tex]x>-17[/tex]
Step-by-step explanation:
[tex]\frac{x}{-4} +9<2[/tex]
Multiply by -4 on both sides.
[tex](-4)(\frac{x}{-4} )+9<2(-4)[/tex]
[tex]x+9>-8[/tex]
When you multiply or divide by negative numbers, the inequality sign changes direction.
Subtract 9 on both sides to isolate x.
[tex]-9+x+9>-8-9\\x>-17[/tex]