
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
Describe the set of points in the plane whose rectangular coordinates satisfy the following inequality:

$$
\frac{\left(x^{5} - 13x^{3} + 36x\right) \cdot \left(x^{4} - 17x^{2} + 16\right)}{\left(y^{5} - 13y^{3} + 36y\right) \cdot \left(y^{4} - 17y^{2} + 16\right)} \geq 0
$$

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