
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 $p$: $x \in A = \{x | x^2 + ax + b \leq 0, a \in \mathbb{R}, b \in \mathbb{R}\}$, $q$: $x \in B = \{x | x^2 - 2mx + m^2 - 4 < 0, m \in \mathbb{R}\}$.
1. If $A = \{x | -1 \leq x \leq 4\}$, find the value of $a + b$;
2. Under the condition of (1), if $\neg q$ is a necessary condition for $p$, find the range of the real number $m$.

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