
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
It is known that line $l_1$ passes through points A(2, 1) and B(0, 3), and the slope of line $l_2$ is -3 and it passes through point C(4, 2).
(Ⅰ) Find the coordinates of the intersection point D of $l_1$ and $l_2$;
(Ⅱ) Given points $M(-2, 2)$, $N\left( \frac {15}{2}, \frac {7}{2}\right)$, if line $l_3$ passes through point D and intersects with segment MN, find the range of the slope $k$ of line $l_3$.

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