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The problem asks you to select values that satisfy the inequality \( z \leq -8 \), meaning any number less than or equal to \(-8\). Let's analyze the options:

### The correct choices should be:
- Any number less than or equal to \(-8\):
    - \(-16\)
    - \(-13\)
    - \(-11\)
    - \(-9\)
    - \(-8.1\)
    - \(-8.01\)
    - \(-8.001\)
    - **\(-8\)**

### The incorrect choices are:
- Values greater than \(-8\):
    - \(-7.999\)
    - \(-7.99\)
    - \(-7.9\)
    - \(-7\)
    - \(-5\)
    - \(-3\)
    - \(0\)

### Therefore, the correct answers are:
\[
\boxed{-16, -13, -11, -9, -8.1, -8.01, -8.001, -8}
\]

Would you like further details or have any questions? Here are five questions to expand on this:

1. How do inequalities change when multiplying or dividing by a negative number?
2. What is the difference between strict inequalities and non-strict inequalities?
3. Can you explain how decimals behave in inequalities?
4. How would this inequality be represented on a number line?
5. What happens if the inequality sign is flipped?

**Tip:** When solving inequalities, always pay attention to whether the inequality is strict (\(<\) or \(>\)) or includes equality (\(\leq\) or \(\geq\)). This impacts which numbers can be solutions.

Select the values that make the inequality z ≤ −8 true. (Numbers written in order from least to greatest going across.)

Learn how to solve the inequality z ≤ −8 by selecting values on a number line that make the inequality true. Explore how inequalities and number lines interact and how to choose correct values in the inequality. Ideal for Grade 7-9 students.

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