
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 $A = \{x \mid 2 \leq x < 4\}$, $B = \{x \mid 3x - 7 \geq 8 - 2x\}$, and $C = \{x \mid x < a\}$.
1. Find $A \cap B$;
2. Find $A \cup (C \cup B)$;
3. If $A \subseteq C$, find the range of possible values for $a$.

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