
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 \( A=\{x \mid x^{2}+2x-8>0\} \) and \( B=\{x \mid x^{2}-2ax+4 \leq 0\} \), if \( a>0 \) and there is exactly one integer in the intersection of \( A \) and \( B \), then the range of \( a \) is \(\qquad\).

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