
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 the universal set $U=\mathbb{R}$, and sets $A={x|3\leqslant x < 10}$, $B={x|2 < x\leqslant 7}$,
(1) Find $A\cup B$, $A\cap B$, $(U\setminus A)\cap(U\setminus B)$;
(2) Given set $C={x|x > a}$, and $A\subseteq C$, find the range of values for $a$.

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