
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
Suppose $x > 0$ and for all $m$ and $n$ such that $m n \neq 0$ and $m x > nx + n$, determine the nature of the ratio $\frac{m}{m + n}$.
A) $\frac{1+x}{2(1+x)}$
B) $\frac{x}{x+1}$
C) $\frac{x+1}{2x+1}$
D) $2 - \frac{x}{x+1}$
E) $\frac{x+2}{3x+1}$

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