Answer:
He subtracted -5 from both sides, not -6
Step-by-step explanation:
The inequality that we have to solve in this problem is
[tex]31<-5x+6[/tex]
To solve the inequality, we proceed as follows:
1)
First, we isolate the term in x. To do that, we add -6 on both sides of the inequality, and we find:
[tex]31-6<-5x+6-6\\25<-5x[/tex]
So, this is now the new inequality.
2)
Then, we divide both sides of the equation by 5; we get:
[tex]\frac{25}{5}<\frac{-5x}{5}\\5<-x[/tex]
3)
Finally, we change sign to the inequality, so we get:
[tex]x<-5[/tex]
So, the student's error is that he subtracted -5 from both sides, not -6.
