
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 $x$ is a real number and $|x-5|+|x-10| > b$ where $b > 0$, what is the range of $b$ for which this inequality holds for some real number $x$?
A) $0 < b < 5$
B) $b > 5$
C) $b \ge 5$
D) $b = 5$
E) $b \le 5$

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