
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
If $x$ is a real number and $|x-2|+|x-3|+|x-4|<a$ where $a>0$, determine the values of $a$.
A) $0 < a \leq 3$
B) $a > 3$
C) $a = 3$
D) $a \leq 1$
E) $2 < a \leq 3$

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