Solving Fraction Function Homework: (x+1)/(x+6) >or= 0

[shoook]

Homework Statement

Solve: (x+1)/(x+6) >or= 0

Homework Equations

The Attempt at a Solution

Don't know where to even start.

 

[Dick]

List all of the x values where the numerator and denominator of the left hand side can change signs. Quick!

 

[shoook]

x=-1 x=-6 ?

 

[Dick]

Great! So if x<-6 what's the sign? If -6<x<-1, what's the sign? If x>-1, what's the sign? You only have three cases. Since it's >or=, you should think about x=-1 and -6 as well.