
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 following system of inequalities must be satisfied:

\[
\left\{\begin{array}{l}
18 p < 10, \\
p > 0.5
\end{array}\right.
\]

Hence, \(0.5 < p < \frac{5}{9}\).

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