
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 $A=\left\{x\mid x^{2}-x-6 \lt 0\right\}$ and $B=\left\{x\mid \log _{2}x \lt 1\right\}$, find the set $A\cup B$.

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