
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
A line in a coordinate plane has a slope $m = \frac{2}{3}$ and a y-intercept $b = -\frac{1}{2}$. What is the range of the product $mb$?
A) $mb < -1$  
B) $mb = -\frac{1}{3}$  
C) $-1 < mb < 0$  
D) $0 < mb < 1$  
E) $mb > 1$

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