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The inequality to solve is:

\[
4x \leq -20
\]

Let's solve it step by step:

1. Divide both sides of the inequality by 4 to isolate \(x\):

\[
x \leq \frac{-20}{4}
\]

2. Simplifying the right-hand side:

\[
x \leq -5
\]

So, the solution in interval notation is:

\[
(-\infty, -5]
\]

Would you like more details on any of the steps, or do you have further questions? 

Here are 5 related questions to consider:
1. How would the solution change if the inequality was \(4x \geq -20\)?
2. What happens if we multiply or divide both sides of an inequality by a negative number?
3. How do you graph the solution to \(x \leq -5\) on a number line?
4. How would you solve the inequality if it was a quadratic instead of a linear inequality?
5. Can you apply the same process to solve inequalities involving absolute values?

**Tip**: Always be careful when dividing or multiplying both sides of an inequality by a negative number; it reverses the inequality symbol!

Solve the following inequality: 4x ≤ -20.

This page explains how to solve the inequality 4x ≤ -20 by isolating the variable and applying key rules of algebra. It includes a step-by-step solution and additional related questions for Grades 6-8 students.

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