
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 $f(x)$ defined on $\mathbb{R}$ such that $f(-x) = 2 - f(x)$, and $f(x)$ is increasing on $(-\infty, 0]$. If the inequality $f(ax+2) + f(1) \leq 2$ holds for $x \in [1,2]$, then the range of values for $a$ is ______.

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