
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 $U={1,2,3,4,5,6,7,8}$, $A={x|x^{2}-3x+2=0}$, $B={x∈Z|1≤x≤5}$, $P={x∈Z|2 < x < 9}$.

(1) Find $A∪(B∩P)$

(2) Find $({C}_{U}B)∩({C}_{U}P)$.

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