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The question in the image asks to select values that satisfy the inequality \( d \leq -4 \). 

This means that any number less than or equal to \(-4\) will make the inequality true. Let's analyze the provided options:

- \(-12\): This is less than \(-4\), so it satisfies the inequality.
- \(-9\): This is also less than \(-4\), so it satisfies the inequality.
- \(-7\): Less than \(-4\), so it satisfies the inequality.
- \(-5\): Less than \(-4\), so it satisfies the inequality.
- \(-4.1\): This is slightly less than \(-4\), so it satisfies the inequality.
- \(-4.01\): This is also less than \(-4\), so it satisfies the inequality.
- \(-4\): This is equal to \(-4\), so it satisfies the inequality.

However, all numbers greater than \(-4\) would not satisfy the inequality.

Thus, the correct answer selections would be:

- \(-12\)
- \(-9\)
- \(-7\)
- \(-5\)
- \(-4.1\)
- \(-4.01\)
- \(-4\)

These are arranged from least to greatest, as requested.

Would you like further details or any clarification? Here are five questions to consider next:

1. What changes if the inequality was \(d < -4\)?
2. How would the solution change if we had a greater-than inequality \(d \geq -4\)?
3. Can you express this inequality on a number line?
4. How would the inequality behave with absolute values?
5. How do we deal with inequalities involving fractions or decimals?

**Tip**: When dealing with inequalities, always be cautious about whether the sign includes "equal to" (≤ or ≥), as this can affect the solution set significantly.

Select the values that make the inequality d ≤ -4 true. (Numbers written in order from least to greatest going across.)

Learn how to solve the inequality d ≤ -4 by selecting values from a given list. This problem covers key concepts in inequalities and number lines, ideal for students in Grades 6-8.

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