The problem asks us to solve the inequality $2x + 3 \le 5x - 9$.

1. Problem Description

The problem asks us to solve the inequality $2x + 3 \le 5x - 9$.

2. Solution Steps

We are given the inequality $2x + 3 \le 5x - 9$.

First, subtract $2x$ from both sides:

$2x + 3 - 2x \le 5x - 9 - 2x$

$3 \le 3x - 9$

Next, add 9 to both sides:

$3 + 9 \le 3x - 9 + 9$

$12 \le 3x$

Now, divide both sides by 3:

$\frac{12}{3} \le \frac{3x}{3}$

$4 \le x$

This is the same as $x \ge 4$.

3. Final Answer

$x \ge 4$