
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 the universal set $U=\{(x,y) | x \in \mathbb{R}, y \in \mathbb{R}\}$, and subsets $A=\{(x,y) | 2x-y+m>0\}$, $B=\{(x,y) | x+y-n>0\}$. Then, the necessary and sufficient condition for point $P(2,3)$ to belong to $(A \cap C_{U}B)$ is.

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