The inequality written is:

$2x + 3y \geq 2x - 5$

Would you like me to solve this inequality for $y$, graph it, or explain it in detail? Let me know how you'd like to proceed!

Here are a few directions for further exploration:

1. Solve the inequality explicitly for $y$ in terms of $x$.
2. Determine if this inequality has a feasible solution space.
3. Graph the inequality on a coordinate plane.
4. Analyze equality (the case when $2x + 3y = 2x - 5$).
5. Explore a similar problem with different coefficients to see how the solution changes.

Tip: When simplifying inequalities, isolating one variable often helps to understand the behavior of the inequality better.