I'm terrible at these...
-3 < (1/x) < 1
If possible could someone show a step-by-step solution?
See the solution on the number line and you will find that there is no common solution which satisfies both the inequalities simultaneously.
So the solution is
-1/3 < x ≥ 1
That means the inequality holds good for all
x ≥ 1
-1/3 < x