We are asked to solve the inequality :

|x-2|`<=` -99

So we can write:

(x-2)`<=` -99 implies x`<=-97`

-(x-2)`<=-99` implies x`>=105`

So we got x`<=-97` and x`>=105` , which is not possible.

hence we do not have a solution to this inequality.

*The answer is: No Solutions, why? Because there's no absolute value (or positive numbers) that will always be equal or less than a negative number.*

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