
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 $f(x)=|x-a|$.
(I) If the solution set of the inequality $f(x)\leqslant m$ is $[-1,5]$, find the values of the real number $a$ and $m$;
(II) When $a=2$ and $0\leqslant t < 2$, solve the inequality $f(x)+t\geqslant f(x+2)$ with respect to $x$.

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