
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 two sets $A=\left\{x\mid \frac{mx-1}{x}<0\right\}$ and $B=\left\{x\mid 2x^2-x<0\right\}$, proposition $p$: $m$ is a positive integer less than 6, and proposition $q$: $A$ is a necessary but not sufficient condition for $B$. If proposition $p \wedge q$ is true, find the value of $m$.

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