
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
(Ⅰ) Compare the size of $(x+1)(x-3)$ and $(x+2)(x-4)$.  
(Ⅱ) A fence 36m long is used to enclose a rectangular vegetable garden. What should be the length and width of the rectangle to maximize the area of the garden? What is the maximum area?

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