
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
Let $a > b$, among the following inequalities $①$ $\frac{a}{c^{2}} > \frac{b}{c^{2}}$; $②$ $\frac{1}{a} < \frac{1}{b}$; $③ |a| > |b|$; $④ a|c| \geqslant b|c|$, the ones that always hold are __________ (Fill in the correct numbers).

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