
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 the universal set $U=\mathbb{R}$, set $A=\{x|-5<x<4\}$, set $B=\{x|x<-6 \text{ or } x>1\}$, and set $C=\{x|x-m<0\}$. Find the range of the real number $m$ such that it satisfies the following two conditions separately: ① $C \supseteq (A \cap B)$; ② $C \supseteq (\complement_U A) \cap (\complement_U B)$.

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