
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 set $M = \{x | x^2 - x - 2 < 0\}$ and $N = \{x | a < x < b, x \in \mathbb{R}, a, b \in \mathbb{R}\}$:
1. Find the set $M$.
2. If $M \supseteq N$, find the minimum value of $a$.
3. If $M \cap N = M$, find the range of values for $b$.

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