
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
Let \(x\) and \(y\) be real numbers. Consider the following five statements:

1. \(\frac{1}{x} > \frac{1}{y}\)
2. \(x^2 < y^2\)
3. \(x > y\)
4. \(x > 0\)
5. \(y > 0\)

What is the maximum number of these statements that can be true for any values of \(x\) and \(y\)?

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