
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 $\frac {1}{a} < \frac {1}{b} < 0$, among the following inequalities, ① $a+b < ab$; ② $|a| < |b|$; ③ $a < b$; ④ $\frac {b}{a} + \frac {a}{b} > 2$, the correct inequalities are \_\_\_\_\_\_. (Write down the numbers of all correct inequalities)

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