
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 a curve C with the polar coordinate equation $ρ= \sqrt{2}$ and a line l with the parametric equations $\begin{cases}x=2+t\cos α \\\\ y=2+t\sin α\end{cases} (t\,\text{is a parameter})$, where the polar coordinate system is established with the coordinate origin as the pole and the non-negative semi-axis of the x-axis as the polar axis.

(1) If point P is on curve C, point Q is on line l, and $α= \dfrac{3}{4}π$, find the minimum value of the line segment |PQ|.
(2) If line l and curve C have two distinct intersection points, find the range of the slope k of line l.

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