
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 that the universal set is the set of real numbers $R$, $A={x|0\leqslant 2x-1\leqslant 5}$, and $B={x|x^{2}+a < 0}$.
1. Find $A∩B$ and $A∪B$ when $a=-4$.
2. Find the range of values for the real number $a$ if $B∩(∁\_{R}A)=B$.

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