
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 $a < 0$ and $a < b < c$. Determine which of the following statements must be true:
1. $ab > bc$
2. $ac > bc$
3. $ab > ac$
4. $a + b < b + c$
5. $c/a > 1$

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