
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
Translate the given function $y = \sin 2x - \sqrt{3} \cos 2x$ horizontally to the left by $φ$ (where $0 < φ \leq \frac{π}{2}$) to obtain the graph of $f(x)$. If $f(x)$ decreases monotonically on the interval $\left(\frac{π}{4}, \frac{π}{2}\right)$, what is the range of values for $φ$?

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