
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 universal set \\(U=\mathbb{R}\\), and non-empty sets \\(A=\left\{ x\left| \dfrac{x-2}{x-(3a+1)} < 0 \right. \right\}\\), \\(B=\left\{ x\left| \dfrac{x-{{a}^{2}}-2}{x-a} < 0 \right. \right\}\\).

\\((1)\\) When \\(a=\dfrac{1}{2}\\), find \\((C_{U}B)∩A\\);

\\((2)\\) Let proposition \\(p\\) be: \\(x∈A\\), and proposition \\(q\\): \\(x∈B\\). If \\(q\\) is a necessary condition for \\(p\\), find the range of the real number \\(a\\).

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