
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 the function \( f(x)=\left\{\begin{array}{ll}1 & x \geqslant 0 \\ -1 & x<0\end{array}\right. \), find the solution set for the inequality \( x + (x + 2) \cdot f(x + 2) \leqslant 5 \).

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