
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 set $M=\\left\\{ x\\in {{N}^{{\*}}}\\left| x < 6 \\right. \\right\\}$ and set $N=\\left\\{ x\\left| \\left| x{-}1 \\right|\\leqslant 2 \\right. \\right\\}$. Determine the value of $M\\cap {{C}\_{R}}N$.

A) $\\left(-∞,-1\\right)$
B) $(3,6)$
C) $\\left\\{ 4,5 \\right\\}$
D) $\\left\[ 1,3 \\right)$

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