
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 $A=\left\{x\middle| \frac{x}{x-1}\geqslant 0, x\in\mathbb{R}\right\}$ and $B=\{y|y=3x^{2}+1, x\in\mathbb{R}\}$, then $A\cap B=$ _____________

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