
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
Let z_{1} = 2x + 1 + (x^{2} - 3x + 2)i, z_{2} = x^{2} - 2 + (x^{2} + x - 6)i (x ∈ R). If z_{1} > z_{2}, then find the set of values for the real number x.

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