
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
Given the set $A = \{x | x < 1 \text{ or } x > 5\}$, and $B = \{x | a \leq x \leq b\}$, and $A \cup B = \mathbb{R}$, $A \cap B = \{x | 5 < x \leq 6\}$, find the value of $2a - b$.

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