
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 $f(x)=x^{2}-kx+(2k-3)$.
(1) If $k= \frac {3}{2}$, solve the inequality $f(x) > 0$;
(2) If $f(x) > 0$ holds for any $x∈R$, find the range of values for the real number $k$;
(3) If the two distinct zeros of the function $f(x)$ are both greater than $ \frac {5}{2}$, find the range of values for the real number $k$.

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