
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
Determine the set of values $x$ satisfying both inequalities $|5-x| < 5$ and $x^2 < 25$.
A) $0 < x < 10$
B) $0 < x < 5$
C) $-5 < x < 10$
D) $0 \leq x \leq 5$

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