
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 the function $f(x)$ with domain $R$ satisfies $f(-x)=-f(x+4)$, and the function $f(x)$ is monotonically increasing in the interval $(2,+∞)$. If $x_{1} < 2 < x_{2}$, and $x_{1}+x_{2} < 4$, calculate the value of $f(x_{1})+f(x_{2}$.

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