
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 $A=\left\{x\mid x^{2}-3x-18\leqslant 0\right\}$ and $B=\left\{x\mid m-8\leqslant x\leqslant m+4\right\}$.
1. If $m=3$, find $\left(\complement _{R}A\right)\cap B$.
2. When $A\cap B=A$, find the range of real numbers $m$.

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