
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
What is the set of all positive real values of \( x \) such that \( (x-1)(x-2)(x-3) < 0 \)?

(a) \( (1,2) \)

(b) \( (1,3) \)

(c) \( (0,1) \cup (2,3) \)

(d) \( (0,3) \)

(e) \( (0,2) \)

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