
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 function $f(x) = |x-4|$, and $g(x) = |2x+1|$.
(1) Solve the inequality $f(x) < g(x)$;
(2) If $2f(x) + g(x) > ax$ holds for any real number $x$, find the range of values for $a$.

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