
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 $f(x) = x - a$, where $a \in \mathbb{R}$, the solution set of the inequality $f(x) \leqslant 2$ is ${x_0 \leqslant x \leqslant x_4}$. Find the range of values for $m$ such that the inequality $(-1 - f(x + 1) \leqslant m$ holds true in the interval $-2 \leqslant x \leqslant 4$.

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