
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 $R$, $A=\{x|2x^2-7x+3\leq0\}$, $B=\{x|x^2+a<0\}$. (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