
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
The sides of a triangle have lengths $7.5$, $11.5$, and $s$, where $s$ is a fractional number of the form $\frac{a}{b}$ with $a$ and $b$ being integers. What is the smallest possible value of $s$?
A) $\frac{7}{2}$
B) $\frac{8}{2}$
C) $\frac{9}{2}$
D) $\frac{10}{2}$

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