
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
Determine the set of values for $x$ such that $x^2 - 5x + 6 > 0$ and $x ≠ 3$.
**A)** $(-\infty, 2) \cup (3, \infty)$  
**B)** $(2, 3)$  
**C)** $[2, 3]$  
**D)** $(-\infty, 2) \cup [3, \infty)$

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