
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
Solve the inequality $|x^2 - 4x + 3| < 6$.
A) $x < 1$ or $x > 3$
B) $x \leq 1$ or $x \geq 3$
C) $1 < x < 3$
D) $1 \leq x \leq 3$
E) All $x$ in real numbers

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