
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
1. Suppose \( A=\left\{x \mid x^{2}<\log _{a} x\right\} \) and \( B=\left\{y \mid y=2^{x}, x \in(-\infty,-1)\right\} \).

If \( A \varsubsetneqq B \), then the range of \( a \) is

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