
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
(1) Given the universal set $U=\{x|1<x<7\}$, $A=\{x|2\leq x<5\}$, and $B=\{x|3x-7\geq 8-2x\}$, find $A\cap B$ and $C_UA$.  
(2) Given sets $A=\{x|-2\leq x\leq 7\}$ and $B=\{x|m+1<x<2m-1\}$, if $A\cup B=A$, find the range of values for $m$.

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