-2x less than or equal to -10

To solve the inequality \(-2x \leq -10\), you can start by dividing both sides by \(-2\). However, remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.

Here's how to do it step by step:

1. Divide both sides by \(-2\):

\[ \frac{-2x}{-2} \geq \frac{-10}{-2} \]

2. This simplifies to:

\[ x \geq 5 \]

So the solution to the inequality \(-2x \leq -10\) is:

\[ x \geq 5 \]

In interval notation, this is represented as \([5, \infty)\).