Answer:
[tex]x < -6[/tex]
Step-by-step explanation:
Step 1: Add 130 to both sides
[tex]50x - 130 - 100x > 170[/tex]
[tex]50x+( - 130 + 130) - 100x > 170+ 130[/tex]
[tex]50x - 100x > 300[/tex]
Step 2: Combine like terms
[tex]50x - 100x > 300[/tex]
[tex]-50x > 300[/tex]
[tex]\frac{-50x}{-50} > \frac{300}{-50}[/tex]
Since we are dividing by a negative, we would have to flip the > sign to a < sign because that's the rule.
[tex]x < -6[/tex]
Answer: [tex]x < -6[/tex]
