.
These two inequalities are connected by the conjunction term "OR".
It means that you should solve each inequality SEPARATELY, and then take a UNION of the solution domains.
This UNION will be the final solution.
So I will implement it in two steps.
1. 2x + 1 < -5 is equivalent to 2x < -5 -1, or 2x < -6, or x < -3.
2. 2 + 3x > 11 is equivalent to 3x > 11 - 2, or 3x > 9, or x > 3.
Answer. The solution is the union (
,
) U (
,
).
