
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 is the set of real numbers, and the sets A and B are defined as $A=\{x|1<x<4\}$, $B=\{x|3x-1<x+5\}$.
1. Find the set B and the complement of A with respect to the real numbers, $\complement_{\mathbb{R}}A$.
2. If $C=\{x|x\leq a\}$, and $\complement_{\mathbb{R}}A \cap C = C$, find the range of the real number $a$.

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