
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
(1) Evaluate the expression: $\sqrt {12}+| \sqrt {3}-2|-2\tan 60^{\circ}+( \frac {1}{3})^{-1}$,

(2) Solve the system of inequalities: $\begin{cases} x+3(x-2)\geqslant 2 \\ \frac {1+2x}{3} > x-1\end{cases}$

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