
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 vectors $\overrightarrow {a}$=(2sinx, $\sqrt {3}$cosx) and $\overrightarrow {b}$=(sinx, 2sinx), and the function f(x) = $\overrightarrow {a}$•$\overrightarrow {b}$.
(I) Find the interval where f(x) is monotonically increasing.
(II) If the inequality f(x) ≥ m holds true for x ∈ [0, $\frac {π}{2}$], find the maximum value of the real number m.

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