.
It is a system of two inequalities connected by the logic term "OR".
It means that the solution to this couple of inequalities is the UNION of solution sets to each inequality.
OK. The first inequality is equivalent to x > 3 (after adding "2" to both sides).
So, it is literally the solution set for this inequality: x > 3, or semi-infinite interval (
,
).
The second inequality is equivalent to x < 1 (after subtracting "1" from both sides).
So, it is literally the solution set for this second inequality: x < 1, or semi-infinite interval (
,
).
After all, the final solution to your original compound inequality is the set
(,) U (,
), which is the UNION of two semi-infinite intervals.
Solved.
