Question

how do I get a solution set out of x/(x+5)>0?
Express the set in interval notation.

Answer 1

hmmm

Answer 2

find roots and asymptotes, consider values in between: let f(x) = x/(x+5)
for x> 0 , f(x)>0
for -5<x<0 , f(x) < 0
for x< -5 f(x) > 0

so solution set is x< -5 , 0<x