
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 the set $A = \{x | 2 \leq 2^{2-x} < 8\}$, $B = \{x | x < 0\}$, and $R$ represent the set of all real numbers.
(1) Find the complement of $A$ in $R$, denoted $C_R A$; (2) Find the intersection of the complement of $B$ in $R$, denoted $C_R B$, with set $A$, and express the result as a set of real numbers.

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