
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
Let the length of the interval $\left[m,n\right]$ be $n-m$. Given that the solution set of the quadratic inequality $(x+a)(x-\frac{4}{a})≤0(a＞0)$ has an interval length of $l$, find the expression for $l$ in terms of $a$.

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