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The inequality given is:

\[
\frac{r}{4} \leq -4
\]

To solve for \( r \), we multiply both sides of the inequality by 4 to eliminate the denominator:

\[
r \leq -4 \times 4
\]

\[
r \leq -16
\]

So, the equivalent inequality in terms of \( r \) is:

\[
r \leq -16
\]

Now, we need to select values from the list that satisfy this inequality. The values must be less than or equal to \( -16 \). These values are:

\[
-24, -20, -17, -16
\]

Would you like any further details on the solution? Here are five related questions for you to explore:

1. What is the difference between solving an inequality and solving an equation?
2. How would the solution change if the inequality was \( \frac{r}{4} \geq -4 \)?
3. What happens if you multiply or divide an inequality by a negative number?
4. How do you graph an inequality like \( r \leq -16 \) on a number line?
5. Can this inequality be written in interval notation, and what would that look like?

**Tip:** When solving inequalities, remember that multiplying or dividing both sides by a negative number reverses the direction of the inequality.

Select the values that make the inequality r/4 ≤ -4 true. Then write an equivalent inequality in terms of r. (Numbers written in order from least to greatest going across.)

Learn how to solve the inequality r/4 ≤ -4 by multiplying both sides by 4 to isolate the variable r. This step-by-step solution helps you understand inequalities and select the correct values from a given set. Suitable for students in Grades 6-8.

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