
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 set $A = \{x | x + m \geq 0\}$, $B = \{x | -2 < x < 4\}$, the universal set $\mathcal{U} = \mathbb{R}$, and $(\mathcal{U}_A^c) \cap B = \emptyset$, determine the range of $m$.

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