https://file.aiquickdraw.com/mathbot/file/17264479510003uep93pb.jpg

The inequality in the image is:

\[
-5x \leq -15
\]

To solve for \(x\), follow these steps:

1. **Divide both sides by -5**. Remember, when dividing or multiplying both sides of an inequality by a negative number, the inequality sign must reverse.

\[
x \geq \frac{-15}{-5}
\]

2. Simplify:

\[
x \geq 3
\]

Thus, the solution is:

\[
x \geq 3
\]

This means that \(x\) must be greater than or equal to 3.

Would you like more details or have any questions? Here are 5 related questions:

1. What happens when you multiply or divide inequalities by negative numbers?
2. How do you graph inequalities on a number line?
3. What is the difference between "greater than" and "greater than or equal to" in inequalities?
4. Can you provide an example of solving an inequality involving fractions?
5. How do you handle inequalities with variables on both sides?

**Tip:** Always remember to reverse the inequality sign when dividing or multiplying both sides by a negative number.

Learn how to solve the linear inequality -5x ≤ -15 by dividing both sides by a negative number, reversing the inequality sign in the process. This example covers important algebraic concepts, including inequalities and the properties of negative numbers. Suitable for students in Grades 6-8.

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