
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
Let set $A$ be the solution set of the equation $-x^2 - 2x + 8 = 0$, and set $B$ be the solution set of the inequality $ax - 1 \leq 0$.

(1) When $a = 1$, find $A \cap B$;

(2) If $A \subseteq B$, find the range of values for the real number $a$.

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