
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 sets $A=\{x\mid \frac{2x}{x-2} < 1\}$ and $B=\{x\mid x^{2}-(2m+1)x+m^{2}+m < 0\}$.

1. Find the sets $A$ and $B$.
2. If $B \subseteq A$, find the range of values for $m$.

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