
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
Xiaoli wants to estimate the value of $x-y$ where $x>y>0$. In her method, she multiplies $x$ by 1.1 and subtracts 2 from $y$, then calculates the difference. Additionally, she is curious about the product of $x$ and $y$ after performing these modifications. What values will Xiaoli estimate for $x-y$ and $xy$?
A) $x-y + 0.1x + 2$ and $1.1xy - 2.2x$
B) $x-y + 0.1x - 2$ and $1.1xy + 2.2x$
C) $x-y - 0.1x + 2$ and $1.1xy - 2.2x$
D) $x-y - 0.1x - 2$ and $1.1xy + 2.2x$

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