
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 propositions $p$: $(x-3)(x+1) < 0$, proposition $q$: $\dfrac{x-2}{x-4} < 0$, and proposition $r$: $a < x < 2a$, where $a > 0$. If $p \land q$ is a sufficient condition for $r$, find the range of values for $a$.

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