
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 p: A real number $x$ satisfies $a < x < 3a$, where $a > 0$; q: A real number $x$ satisfies $2 < x < 3$.  
(1) If $a=1$, and $p \land q$ is true, find the range of the real number $x$;  
(2) If $q$ is a sufficient but not necessary condition for $p$, find the range of the real number $a$.

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