
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 inequality $$\frac {kx^{2}+kx+4}{x^{2}+x+1} > 1.$$  
(1) If the inequality holds for any $x \in \mathbb{R}$, find the range of the real number $k$;  
(2) If the inequality holds for any $x \in (0, 1]$, find the range of the real number $k$.

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