
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
If $x \geqslant \dfrac{{5}}{{2}}$, then the function $f(x)=\dfrac{{{x}^{{2}}}-{4}x+{5}}{{2}x-{4}}$ has:
A) Maximum value $\dfrac{{5}}{{4}}$
B) Minimum value $\dfrac{{5}}{{4}}$
C) Maximum value $1$
D) Minimum value $1$

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