
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]


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Given that the function $f(x)$ defined on $\mathbb{R}$ satisfies $f(x)+f{'}(x) < 0$ always holds, and $f(2)=\frac{1}{{{e}^{2}}}$ ($e$ is the base of the natural logarithm), the solution set of the inequality ${{e}^{x}} \cdot f(x)-1 > 0$ is _______.

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