
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 $f(x) = x^{2} + a$ where $a \in \mathbb{R}$, and $g(x) = |x + 1| + |x - 2|$,
(Ⅰ) If $a = -4$, find the solution set of the inequality $f(x) \geqslant g(x)$;
(Ⅱ) If the solution set of $f(x) > g(x)$ is empty when $x \in [0,3]$, determine the range of $a$.

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