Need help to resolve equation with delta

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Hello I need to solve this equation, I have the result but I do not understand how we solve it:

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$\Delta n$ is the difference between the expected and observed number in a $\chi^2$, we try to find out how many individuals would have been needed to reject $H_0$.

I do not understand the part where $\Delta n \ge 14.919$ becomes $n \ge 246.669$ or $n \le 216.831$.

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The average of $246.669$ and $216.831$ is $231.75,$ which is $14.919$ away from either bound.