
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 a function $f(x)=e^{x}+ax-3$ where $a\in \mathbb{R}$, if for any $x_{1}$, $x_{2}\in [1,+\infty)$ and $x_{1} < x_{2}$, the inequality $x_{2}f(x_{1})-x_{1}f(x_{2}) < a(x_{1}-x_{2})$ holds, then the range of values for $a$ is ______.

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