
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 $A=\{x\mid -5<x<1\}$, $B=\{x\mid -2<x<8\}$, and $C=\{x\mid x<a\}$, with the universal set being the set of all real numbers $\mathbb{R}$.
(1) Find $A \cup B$ and $(\complement_{\mathbb{R}} A) \cap B$;
(2) If $A \cap B \subseteq C$, determine the range of the real number $a$.

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