
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
The sum of the greatest integer less than or equal to \(x\) and the least integer greater than or equal to \(x\) is \(7\). Determine the set of all possible values for \(x\).
A) \(\{x\ |\ x = 3.5\}\)
B) \(\{x\ |\ 3 \leq x \leq 4\}\)
C) \(\{x\ |\ 3 \leq x < 4\}\)
D) \(\{x\ |\ 3 < x < 4\}\)
E) \(\{x\ |\ 3 < x \leq 4\}\)

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