
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 sets $A=\{x|(lo{g}_{4}{x}^{2}-1)•(lo{g}_{2}x-3)≤0\}$ and $B=\{x|\frac{2x-a}{x+1}＞1\}$.  
$(Ⅰ)$ Find set $A$;  
$(Ⅱ)$ Given proposition $p:x\in A$, proposition $q:x\in B$, if $p$ is a sufficient but not necessary condition for $q$, find the range of real number $a$.

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