
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 sets $A=\{x|-2<x<0\}$, and $B=\{x|y= \sqrt{x+1}\}$  
(1) Find $(\complement_R A) \cap B$;  
(2) If set $C=\{x|a<x<2a+1\}$, and $C \subseteq A$, find the range of $a$.

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