
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 $7$. Find the solution set for $x$.
A) $\{ x | 3 \leq x \leq 4 \}$
B) $\{ x | 3 \leq x < 4 \}$
C) $\{ x | 3 < x \leq 4 \}$
D) $\{ x | 3 < x < 4 \}$
E) $\{3.5\}$

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