
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={x|$\log_2{x}<8$}, B={x|$\frac{x+2}{x-4}<0$}, and C={x|$a<x<a+1$}.
(1) Find the intersection A∩B;
(2) If B∪C=B, determine the range of the real number a.

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