Decide whether the expression described is Positive, Negative, or Cannot Be Determined. If you answer Cannot Be Determined, give numerical examples to show how the problem could be either positive or negative.
`(x)/(y)divz`, given that x, y, and z are negative.

Answer

To determine whether the expression \((x/y) \div z\) is positive, negative, or cannot be determined, given that \(x\), \(y\), and \(z\) are all negative, we can follow these steps:

### Step 1: Analyze the first part of the expression \((x/y)\)

Since both \(x\) and \(y\) are negative, we can use the property of division involving negative numbers:

\[ \text{Negative} \div \text{Negative} = \text{Positive} \]

Thus, \((x/y)\) will be positive.

### Step 2: Analyze the second part of the expression \((x/y) \div z\)

Now, we take the result from Step 1, which is positive, and divide it by \(z\). Since \(z\) is also negative, we apply the division property again:

\[ \text{Positive} \div \text{Negative} = \text{Negative} \]

Thus, \((x/y) \div z\) will be negative.

### Conclusion

The final result of the expression \((x/y) \div z\) is negative.

### Final Answer

The expression is **Negative**.

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