
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 be \\(R\\), and the sets \\(A=\\{x|x^{2}-9x+18\geqslant 0\\}\\), \\(B=\\{x|y=\dfrac{1}{\sqrt{x+2}}+\lg (9-x)\\}\\).  
\\((1)\\) Find \\((C_{R}A)∩B\\);  
\\((2)\\) Given \\(C=\\{x|a < x < a+1\\}\\), if \\(C⊆B\\), find the range of the real number \\(a\\).

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