
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 the sets \\(M=\{x|(x+3)^{2}\leqslant 0\}\\) and \\(N=\{x|x^{2}+x-6=0\}\\) be given.  
(I) Find \\((\complement_{I}M)\cap N\\);  
(II) Let the set \\(A=(\complement_{I}M)\cap N\\). Given the set \\(B=\{x|a-1\leqslant x\leqslant 5-a, a\in\mathbb{R}\}\\), 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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