Question 156336
(press Show source to see the signs better)

sign x-9                 ---------------------0+++++++
                                              9

sign x+1                 --------------0+++++++++++++++++
                                      -1

sign (x-9)/(x+1)         ++++++++++++++NE------0++++++++++  
                                      -1      9

where NE means not exists

Solution set: (-inf,-1)U([0,inf)