
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
The following are three propositions:  
\\(①\\) If \\(|a-b| < 1\\), then \\(|a| < |b|+1\\);  
\\(②\\) If \\(a\\), \\(b \in \mathbb{R}\\), then \\(|a+b|-2|a| \leqslant |a-b|\\);  
\\(③\\) If \\(|x| < 2\\) and \\(|y| > 3\\), then \\(| \frac{x}{y}| < \frac{2}{3}\\);  
Among these, the correct propositions are \_\_\_\_\_\_.

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