
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 \\( \begin{vmatrix} a & b \\ c & d \end{vmatrix} = ad - bc \\), let \\( f(x) = \begin{vmatrix} mx & m \\ 2x & x + 1 \end{vmatrix} \\)  
\\((1)\\) If the solution set of the inequality \\( f(x) < 1 \\) is \\( R \\), find the range of values for \\( m \\).  
\\((2)\\) If for any \\( x \in [1,3] \\), the inequality \\( f(x) < 6 - m \\) always holds, find the range of values for \\( m \\).

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