
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 all values of $x$ that satisfy the inequality $3x^2 - 2x - 1 > 4x + 5$.
**A)** $x < 1 - \sqrt{3}$
**B)** $x > 1 + \sqrt{3}$
**C)** $x < 1 + \sqrt{3}$
**D)** $x < 1 - \sqrt{3} \quad \text{or} \quad x > 1 + \sqrt{3}$
**E)** None of the above

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