
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 be $\mathbb{R}$, $A=\{x | a \leq x < 4\}$, $B=\{x | 3x - 7 \geq 8 - 2x\}$  
(1) If $a=2$, find $A \cap B$, $(\complement_{\mathbb{R}}A) \cup (\complement_{\mathbb{R}}B)$;  
(2) If $A \cap B = A$, find the range of values for $a$.

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