
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
Given the function:

$$
x(p)=\left\{\begin{array}{l}
1, \text { if } 0 \leq p \leq \frac{1}{2} \\
\frac{q}{p}, \text { if } \frac{1}{2}<p \leq 1
\end{array}\right.
$$

For the case where \( p = 0.6 > \frac{1}{2} \), find the value of \( x \).

### Solution
Using \( p = 0.6 \) and the given function:

\[
x = \frac{q}{p} = \frac{2}{3}
\]

Thus, the value of \( x \) is \( \frac{2}{3} \).

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