
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 functions f(x) = lnx and g(x) = x - $\frac {2}{x}$.
1. Find the monotonic intervals of the function φ(x) = g(x) - kf(x) (k > 0).
2. If for all x in [e, +∞), xf(x) ≥ ax - a holds true, find the range of values for the real number a.

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