
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 $x + 2y - 1 = 0$, point $A$ is on the line $x + 2y + 3 = 0$, the midpoint of $PQ$ is $M(x_0, y_0)$, and $y_0 > x_0 + 2$, then find the range of values for $\frac{y_0}{x_0}$.

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