
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 a linear function $y=kx+b$ ($k$ and $b$ are constants, and $k\neq 0$), some corresponding values of $x$ and $y$ are shown in the table below:

| $x$ | $-2$ | $-1$ | $0$ | $1$ | $2$ | $3$ |
|-----|------|------|----|----|----|----|
| $y$ | $3$  | $2$  | $1$| $0$| $-1$| $-2$|

Then the solution set of the inequality $kx+b \lt 0$ is ______.

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