
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
Two different numbers are randomly selected from the set $\{-3, -2, -1, 0, 1, 4, 5\}$ and multiplied together. What is the total number of pairs of numbers that can be selected from the given set, and what is the number of pairs of numbers whose product is greater than 0?

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