
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
Determine the necessary and sufficient condition for the inequalities $a > b$ and $\frac{1}{a} > \frac{1}{b}$ to hold simultaneously.

A) $a > b > 0$
B) $a > 0 > b$
C) $\frac{1}{b} < \frac{1}{a} < 0$
D) $\frac{1}{a} > \frac{1}{b} > 0$

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