
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 set $A=\{x|-5\leq x\leq 3\}$, and set $B=\{x|x<-2 \text{ or } x>4\}$. Find $A\cap B$, $(\complement_R A)\cap B$, and $(\complement_R A)\cap (\complement_R B)$.

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