
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 $f(x) = a^x + ta^{-x}$ ($a > 0$, and $a \neq 1$) is an even function defined on $\mathbb{R}$.

(Ⅰ) Find the value of the real number $t$;  
(Ⅱ) Solve the inequality $f(x) > a^{2x-3} + a^{-x}$ with respect to $x$.

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