
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 $R$, set $A={x|x^2-9x+18\geqslant 0}$, and set $B={x|y= \frac{1}{\sqrt{x+2}}+\log(9-x)}$.
1) Find $A\cup B$ and $(∁_{R}A)∩B$;
2) Given set $C={x|a < x < a+1}$, if $C⊆B$, find the range of values for the real number $a$.

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