
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 $f(x) = \begin{cases} \left(\frac{1}{2}\right)^{x}, & x < -1 \\ x^{2}+3x, & x \geq -1 \end{cases}$.
(I) Solve the inequality $f(x) < 4$;
(II) Solve for the range of real numbers $m$ such that $f(x) \geq mx - 2$ holds true for all $x$ in the interval $(0, 2]$.

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