
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 that $a$ is a real number. If $y=f\left(x\right)$ is an even function defined on $\mathbb{R}$ and strictly increasing on the interval $\left[0,+\infty \right)$, then the range of values of $a$ that satisfies $f\left(a\right)\geqslant f\left(3\right)$ is ______.

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