
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 that $a, b, c$ are the sides opposite to angles $A, B, C$ respectively in $\triangle ABC$, and given that $\angle A=60^{\circ}, a= \sqrt{3}, b=x $, find the range of $x$ such that there are two triangles satisfying the conditions.

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