
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 that set A is the domain of the function y = lg(6 + 5x - x^2) and set B is the solution set of the inequality x^2 - 2x + 1 - a^2 ≥ 0 (a > 0). Let p: x ∈ A and q: x ∈ B. If ¬p is a sufficient but not necessary condition for q, then the range of a is ___.

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