
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 $t \in \mathbb{R}$. It is known that $p$: the function $f(x) = x^2 - tx + 1$ has a root, and $q$: $\forall x \in \mathbb{R}, |x-1| \geq 2-t^2$.

(Ⅰ) If $q$ is true, find the range of values for $t$;  
(Ⅱ) If $p \lor q$ is false, find the range of values for $t$.

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