
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 $A=\left\{x\mid \frac{6}{x+1}\geqslant 1,x\in R\right\}$ and $B=\left\{x\mid{x}^{2}-2x-m < 0\right\}$,

(I) Find set $A$;

(II) When $m=3$, find $A\cap {{C}_{R}}B$.

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