
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
Reading comprehension: We call $|\begin{array}{l}{a}&{b}\\{c}&{d}\end{array}|$ a second-order determinant, and define its operation rule as $|\begin{array}{l}{a}&{b}\\{c}&{d}\end{array}|=ad-bc$. For example, $|\begin{array}{l}{1}&{3}\\{2}&{4}\end{array}|=1\times 4-2\times 3=-2$. If $|\begin{array}{l}{2}&{3-x}\\{1}&{x}\end{array}| \gt 0$, then the inequality can be written as ____.

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