
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 universal set $U=\mathbb{R}$, set $A=\{x\mid 0 < \log_{2}x < 2\}$, and set $B=\{x\mid x\leqslant 3m-4 \text{ or } x\geqslant 8+m\}(m < 6)$.
1. If $m=2$, find $A\cap(\lnot_{U}B)$;
2. If $A\cap(\lnot_{U}B)=\varnothing$, find the range of values for the real number $m$.

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