
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
Let the universal set $U=\mathbb{R}$, $A=\{x \mid 4 \leq x < 8\}$, and $B=\{x \mid \log_2 (x - 3) < 2\}$. Let $C=\{x \mid x - 1 < t\}$.
1. Find $A \cap B$ and $(\complement_{\mathbb{R}} A) \cup B$.
2. If $A \cap C = \emptyset$, determine the range of values for $t$.

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