Solve the inequality. Express your solution in interval notation and please be sure to show all of your work.

x-8/x+6 >0

Solution:

This is a fraction inequality, we can tranform it.

x-8/x+6 >0  => (x-8)(x+6)>0 => x<-6, x>8

So the solution is {x|x<-6 or x>8}