
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 proposition $p$: The logarithm $\log_{a}(-2t^2+7t-5)$ ($a > 0$, $a \ne 1$) is meaningful; proposition $q$: The real number $t$ satisfies the inequality $t^2-(a+3)t+(a+2) < 0$.

(Ⅰ) If proposition $p$ is true, find the range of values for the real number $t$;

(Ⅱ) If proposition $p$ is a sufficient but not necessary condition for proposition $q$, find the range of values for the real number $a$.

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