We can solve these two inequalities
(x - 1) / (x + 3) < 1 and ( x - 1)/(x + 3) > - 1
Multiply both sides by x + 3
x - 1 < 1 ( x + 3) x - 1 > -1(x + 3)
x - 1 < x + 3 x - 1 > - x - 3
No solution 2x > -2
x > -1
See the graph here : https://www.desmos.com/calculator/ldmrqqvd4s