
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 two sets $A = \left\{ x \mid \frac{1}{2} < 2^{x} < 8, x \in \mathbb{R} \right\}$ and $B = \{ x \mid -1 < x < m+1, x \in \mathbb{R} \}$, if $x \in B$ is a sufficient but not necessary condition for $x \in A$, then the range of the real number $m$ is ______.

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