
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
(10 points) Given the set of all real numbers $R$, and the set $A=\{x|(x+2)(x-3)<0\}$. Let set $B=\{x|x-a>0\}$.
(1) If $a=1$, find $(\complement_R A) \cup B$;
(2) Suppose $A \subseteq B$, find the range of the real number $a$.

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