
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 $f(x)=|x+m|+|2x-1| (m\in R)$.

(I) When $m=-1$, find the solution set of the inequality $f(x)\leqslant 2$.

(II) Let the solution set of the inequality $f(x)\leqslant |2x+1|$ regarding $x$ be $A$, and $\left[\frac{3}{4},2\right]\subseteq A$, find the range of the real number $m$.

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