Question 360299
The critical values of the inequality are 1 and -5.
Choose any number less than -5:  pick -6.  Now {{{(-6+5)/(1--6) = -1/7<0}}}.  Therefore ({{{-infinity}}}, -5) is not part of the solution set.
Choose any number between -5 and 1:  pick 0.  Now {{{(0+5)/(1-0) = 5/1= 5>0}}}.  Therefore (-5, 1) is part of the solution set.
Choose any number greater than 1:  pick 2.  Now {{{(2+5)/(1-2) = 7/-1<0}}}.  Therefore (1, {{{infinity}}}) is not part of the solution set.
The critical values themselves don't satisfy the original inequality.  Therefore the solution set is (-5, 1).