
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 sets $B=\{x \mid -3 < x < 2\}$ and $C=\{y \mid y=x^2+x-1, x \in B\}$:
1. Determine $B \cap C$ and $B \cup C$.
2. Let the domain of the function $f(x)= \sqrt{4x-a}$ be $A$, and suppose $B \subseteq (\mathbb{R} \setminus A)$. Find the range of the real number $a$.

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