
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 the proposition $p$: the curve $y=x^{2}+2x+2t-4$ has no intersection with the $x$-axis; and the proposition $q$: the equation $\frac{x^{2}}{4-t}+\frac{y^{2}}{t-2}=1$ represents an ellipse with foci on the $x$-axis.

1. If proposition $p$ is true, find the range of values for the real number $t$.
2. If "$p \vee q$" is true and "$p \wedge q$" is false, find the range of values for the real number $t$.

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