
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 = R, set A = {x | x < 0}, and set B = {x | x > 1}, find the complement of set B with respect to U (∁$_{
m U}$B) and the intersection of set A and the complement of set B (A ∩ (∁$_{
m U}$B)).

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