To solve the inequality \(\frac{z}{-8} \geq 9\), we start by multiplying both sides by \(-8\). When we multiply or divide by a negative number, we must reverse the inequality sign:
\[ z \leq 9 \times (-8) \]
Calculating the right side:
\[ z \leq -72 \]
Now we have the equivalent inequality \(z \leq -72\).
Next, we need to select the values from the provided list that satisfy the inequality \(z \leq -72\):
- \(-88\) (satisfies)
- \(-80\) (satisfies)
- \(-75\) (satisfies)
- \(-73\) (satisfies)
- \(-72\) (satisfies)
- \(-71\) (does not satisfy)
- \(-69\) (does not satisfy)
- \(-64\) (does not satisfy)
- \(-56\) (does not satisfy)
The values that satisfy the inequality are:
\[ -88, -80, -75, -73, -72 \]
Therefore, the answer is:
Answer: \(-88, -80, -75, -73, -72\)
Equivalent inequality: \(z \leq -72\)