
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 function \( f(x) = \left\{ \begin{array}{ll} a - x, & x \in [0, 3], \\ a \log_{2} x, & x \in (3, +\infty), \end{array} \right. \) where \( a \) is a real number, if \( f(2) < f(4) \), then what is the range of values for \( a \)?

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