The problem asks to simplify the inequality $-10x \le -25$.

1. Problem Description

The problem asks to simplify the inequality $-10x \le -25$.

2. Solution Steps

To solve the inequality $-10x \le -25$, we need to isolate $x$. We can do this by dividing both sides of the inequality by $-10$. Remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign.

So, dividing both sides by $-10$, we get:

$\frac{-10x}{-10} \ge \frac{-25}{-10}$

$x \ge \frac{25}{10}$

Simplifying the fraction, we have:

$x \ge \frac{5}{2}$

3. Final Answer

$x \ge \frac{5}{2}$