
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 sets $A=\left\{x \mid \log _{\frac{1}{2}}(x+2) < 0 \right\}$ and $B=\left\{x \mid (x-a)(x-b) < 0 \right\}$, if "$a=-3$" is a sufficient condition for "$A\cap B\neq \emptyset$", then the range of values for the real number $b$ is _______.

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