
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 $p$: The curve represented by the equation $\frac{x^2}{3-t} + \frac{y^2}{t+1} = 1$ is an ellipse with foci on the x-axis; $q$: The real number $t$ satisfies the inequality $t^2 - (a-1)t - a < 0$.
(Ⅰ) If $p$ is true, find the range of the real number $t$;
(Ⅱ) If $p$ is a sufficient but not necessary condition for $q$, find the range of the real number $a$.

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