
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 sets $A={x|2x^2-9x+4>0}$, $B={y|y=-x^2+2x, x\in \mathbb{R} \setminus A}$, and $C={x|m+1<x\leq 2m-1}$.

(1) Find set $B$;

(2) If $A\cup C=A$, find the range of values for the real number $m$.

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