
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 $f(x) = |x + m| + |2x - 1|$ ($m \in \mathbb{R}$)  
(I) When $m = -1$, find the solution set of the inequality $f(x) \leq 2$;  
(II) Let the solution set of the inequality $f(x) \leq |2x + 1|$ 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}
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