
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 that $R$ is the universal set, $A=\{x|\log_{2}(3-x)\leqslant 2\}$, $B=\{x|x^{2}\leqslant 5x-6\}$,
$(1)$ Find $A$, $B$
$(2)$ Find $C_{R}(A∩B)$

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