Question

-2x less than or equal to -10

Answer 1

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 \([5, \infty)\).