Answer:
Danny did not reverse the symbol.
Hence, the correct answer is: [tex]x<-7[/tex]
Step-by-step explanation:
Given the inequality
[tex]- 8x > 56[/tex]
We know that when we multiply both sides by -1, the 'inequality' gets reverse.
i.e.
[tex]\left(-8x\right)\left(-1\right)<56\left(-1\right)[/tex]
[tex]8x<-56[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}<\frac{-56}{8}[/tex]
[tex]x<-7[/tex]
Therefore, Danny did not reverse the symbol.
Hence, the correct answer is: [tex]x<-7[/tex]
