Let #f(x)=(x+2)/x#
The domain of #f(x)# is #D_f(x)=RR-{0}#
We can build the sign chart
#color(white)(aaaa)##x##color(white)(aaaa)##-oo##color(white)(aaaa)##-2##color(white)(aaaaaaa)##0##color(white)(aaaaa)##+oo#
#color(white)(aaaa)##x+2##color(white)(aaaaa)##-##color(white)(aaaaa)##+##color(white)(aaa)##||##color(white)(aa)##+#
#color(white)(aaaa)##x##color(white)(aaaaaaaaa)##-##color(white)(aaaaa)##-##color(white)(aa)##||##color(white)(aa)##+#
#color(white)(aaaa)##f(x)##color(white)(aaaaaa)##+##color(white)(aaaaa)##-##color(white)(aaa)##||##color(white)(aa)##+#
Therefore
#f(x)<=0# when #x in [-2,0[#