
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 sets $$A=\{x| \frac {3x-5}{x+1}\leq1, x\in\mathbb{R}\}$$ and $$B=\{x| |x-a|\leq1, x\in\mathbb{R}\}.$$  
(1) Find set A.  
(2) If $B\cap \complement_{\mathbb{R}}A=B$, find the range of values for the real number $a$.

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