
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 $M = \{x | x^2 + 3x + 2 < 0\}$ and $N = \left\{ \begin{cases} x \left. \begin{matrix} \left( \begin{matrix} \frac{1}{2} \end{matrix} \right)^x \leq 4 \end{matrix} \right\} \right\},$ find the set $M \cup N$.

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