`| x - 2 | <= -99` Solve the inequality.

Expert Answers

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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.

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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.

Approved by eNotes Editorial Team

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