
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 the constraint conditions $\begin{cases} |x+y|\leqslant 2 \\ |x-y|\leqslant 2 \end{cases}$, determine the range of $z=\dfrac{y}{x-4}$.

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