
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
If the inequality $x^2 - 2ax + a > 0$ holds for all real numbers $x \in \mathbb{R}$, determine the solution set of the inequality ${a^{t^2}} + 2t - 3 < 1$ in terms of $t$.

A) $(-\infty,-3) \cup (1,+\infty)$
B) $(-3,1)$
C) $\emptyset$
D) $(0,1)$

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