
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
Let the universal set $I = \mathbb{R}$, and let the sets $M = \{x | (x + 3)^2 \leq 0\}$ and $N = \{x | x^2 + x - 6 = 0\}$.
1. Find $(\complement_IM) \cap N$;
2. Let set $A = (\complement_IM) \cap N$. Given that set $B = \{x | a - 1 \leq x \leq 5 - a, a \in \mathbb{R}\}$, and if $B \cup A = A$, find the range of the real number $a$.

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