
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 range of real numbers \( x \) for which the inequality \( x^2 + 5x + 6 > 0 \) holds.
**A)** \( x < -3 \) and \( x > -2 \)   
**B)** \( x > -3 \)  
**C)** \( x < -3 \)  
**D)** \( x > -2 \)  
**E)** \( x < -2 \)

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