Here's the question you clicked on:
Cutiepo0
find solution set for inequality: (-6)/(x+1) > (1/x)
The only way that can be true is if all factors are positive or 2 are negative and 1 positive.
\[\huge -\frac{6}{x+1} > \frac{1}{x}\] \[\huge -6x>x+1\] \[\huge 7x<-1\] \[\huge x<-\frac{1}{7}\]
You can't do that @Azteck You don't know if x is positive or negative thus you don't know whether to flip the inequality symbol or not. The way I showed is the way to handle it.
AH, yeah you're right. I was at a lost there for a moment, but all is well now.