
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that point $P$ is on the line $x + 2y - 1 = 0$ and point $Q$ is on the line $x + 2y + 3 = 0$, the midpoint of $P Q$ is $M\left(x_{0}, y_{0}\right)$, and $y_{0} > x_{0} + 2$. Determine the possible range for $\frac{y_{0}}{x_{0}}$.

Present the answer in LaTex format: \boxed{Your answer}
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