
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
Define a new operation: for any real numbers $a$ and $b$, $a*b=\left(a+3b\right)-ab$, where the right side of the equation involves the usual addition, subtraction, and multiplication operations. For example, $2*5=\left(2+15\right)-2\times 5=7$. Then the solution set of the inequality $5*x \lt 13$ is ______.

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