
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 \( b - a \) such that the length of the interval of solutions for the inequality \( a \leq 3x + 4 \leq b \) is \( 8 \).
A) 18
B) 20
C) 22
D) 24
E) 26

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