
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 sets $A=\{x|2\leqslant 2^{x}\leqslant 16\}$, $B=\{x|\log_{3}x > 1\}$,

(1) Find $A \cap B$, $(\complement_{\mathbb{R}}B) \cup A$;

(2) Given set $C=\{x|1 < x < a\}$, if $C \subseteq A$, find the range of the real number $a$.

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