
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
A certain unit randomly selected several employees to investigate whether there is a correlation between gender and job satisfaction. The data obtained is shown in the table below, where $x\in N^{*}$ and $x \lt 20$. If there is a $90\%$ certainty that there is a correlation between gender and job satisfaction, then the number of possible values for $x$ is ______.<br/>

|         | Satisfied with Job | Not Satisfied with Job |
|---------|---------------------|-------------------------|
| Male    | $5x$                | $5x$                    |
| Female  | $4x$                | $6x$                    |

Given: ${K}^{2}=\frac{n(ad-bc)^{2}}{(a+b)(c+d)(a+c)(b+d)}$, where $n=a+b+c+d$.<br/>

| $P(K^{2}\geqslant k_{0})$ | $0.10$ | $0.05$ | $0.025$ | $0.010$ | $0.005$ | $0.001$ |
|---------------------------|--------|--------|---------|---------|---------|---------|
| $k_{0}$                   | $2.706$| $3.841$| $5.024$ | $6.635$ | $7.879$ | $10.828$|

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