Given that $mn
eq 0$, compare the following two quantities:

**Quantity I:** $m = n$

**Quantity II:** $\frac{m}{n}$

Determine the correct relationship between Quantity I and Quantity II.

Question

Given that $mn 
eq 0$, compare the following two quantities:

**Quantity I:** $m = n$

**Quantity II:** $\frac{m}{n}$

Determine the correct relationship between Quantity I and Quantity II.

Accepted Answer

**Solution:**

1. We are given that $mn 
eq 0$, so neither $m$ nor $n$ is zero.

2. Quantity I states $m = n$.

3. Quantity II is $\frac{m}{n}$.

4. If $m = n$, then $\frac{m}{n} = \frac{n}{n} = 1$.

5. However, the problem does not explicitly state that $m = n$; it only gives $mn 
eq 0$.

6. Since $m$ and $n$ can be both positive or both negative, or one positive and one negative, the value of $\frac{m}{n}$ can vary.

7. Therefore, without additional information, we cannot definitively say whether $m = n$ or how $\frac{m}{n}$ compares to $m = n$.

**Answer:** Quantity I = Quantity II or the relationship cannot be established from the given information.

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