
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 the set of real numbers $R$, $A = \{x | 2x^2 - 7x + 3 \leq 0\}$, $B = \{x | x^2 + a < 0\}$.
(1) When $a = -4$, find $A \cap B$ and $A \cup B$;
(2) If $(\complement_R A) \cap B = B$, find the range of the real number $a$.

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