
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
Given the sets \( A = \{(x, y) \mid y = x^2 + mx + 2\} \) and \( B = \{(x, y) \mid x - y + 1 = 0 \text{ and } 0 \leq x \leq 2\} \), find the range of values for \( m \) such that \( A \cap B = \varnothing \).

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