
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 two sets \( A = \{ x \mid x \geq 3 \} \) and \( B = \{ x \mid x < m \} \) such that \( A \cup B = \mathbb{R} \) and \( A \cap B = \emptyset \), determine the value of the real number \( m \).

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